Lax pair, Darboux transformation and Nth-order rogue wave solutions for a (2+1)-dimensional Heisenberg ferromagnetic spin chain equation
A new (2+1)-dimensional Heisenberg ferromagnetic spin chain equation is investigated, which can be used to describe magnetic soliton excitations in two dimensional space fields and a time field. The Lax pair of the equation is first constructed. Based on the Lax pair, initial seed solution and Darbo...
Saved in:
| Published in | Computers & mathematics with applications (1987) Vol. 77; no. 2; pp. 514 - 524 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Oxford
Elsevier Ltd
15.01.2019
Elsevier BV |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0898-1221 1873-7668 |
| DOI | 10.1016/j.camwa.2018.09.054 |
Cover
| Abstract | A new (2+1)-dimensional Heisenberg ferromagnetic spin chain equation is investigated, which can be used to describe magnetic soliton excitations in two dimensional space fields and a time field. The Lax pair of the equation is first constructed. Based on the Lax pair, initial seed solution and Darboux transformation, the analytic first-, second- and third-order rogue wave solutions are obtained, and a general expression of the Nth-order (N>3) rogue wave solutions is presented. The impacts of the system parameters on the rogue waves are demonstrated through numerical visualization method. |
|---|---|
| AbstractList | A new (2+1)-dimensional Heisenberg ferromagnetic spin chain equation is investigated, which can be used to describe magnetic soliton excitations in two dimensional space fields and a time field. The Lax pair of the equation is first constructed. Based on the Lax pair, initial seed solution and Darboux transformation, the analytic first-, second- and third-order rogue wave solutions are obtained, and a general expression of the Nth-order (N>3) rogue wave solutions is presented. The impacts of the system parameters on the rogue waves are demonstrated through numerical visualization method. |
| Author | Ma, Yu-Lan Li, Bang-Qing |
| Author_xml | – sequence: 1 givenname: Bang-Qing orcidid: 0000-0001-9667-5667 surname: Li fullname: Li, Bang-Qing organization: School of Computer and Information Engineering, Beijing Technology and Business University, Beijing, 100048, PR China – sequence: 2 givenname: Yu-Lan orcidid: 0000-0003-3205-1729 surname: Ma fullname: Ma, Yu-Lan email: mayl@th.btbu.edu.cn organization: School of Science, Beijing Technology and Business University, Beijing, 100048, PR China |
| BookMark | eNotkMlu2zAQQInCAeok_YJeCPTSopE6JLUeeijcbICRXtozMaJGDg2bdEjJzifks0vbucxgBm8WvEs2c94RY58F5AJE9WOdG9weMJcgmhzaHMriA5uLplZZXVXNjM2haZtMSCk-sssY1wBQKAlz9rbEV75DG274bwydn175GNDFwYctjtY7jq7nT-Nz5kNPgQe_mogfcE88-s10JCJPMEf-VX4X37LebsnF1MYNfyAbyXUUVnygEPwWV45Ga3jcWcfNM6ZIL9PpzjW7GHAT6dN7vmL_7m7_Lh6y5Z_7x8WvZUZS1WPW1b1CkKqrsJeghqop2rasjRElqFYWamjrrumqEgopGiyoFHIoKZWdIRSVumJfznt3wb9MFEe99lNI30adBqq6BSlkon6eKUqv7C0FHY0lZ6i3gcyoe2-1AH2Ur9f6JF8f5WtodZKv_gMtsXy3 |
| ContentType | Journal Article |
| Copyright | 2018 Elsevier Ltd Copyright Elsevier BV Jan 15, 2019 |
| Copyright_xml | – notice: 2018 Elsevier Ltd – notice: Copyright Elsevier BV Jan 15, 2019 |
| DBID | 7SC 7TB 8FD FR3 JQ2 KR7 L7M L~C L~D |
| DOI | 10.1016/j.camwa.2018.09.054 |
| DatabaseName | Computer and Information Systems Abstracts Mechanical & Transportation Engineering Abstracts Technology Research Database Engineering Research Database ProQuest Computer Science Collection Civil Engineering Abstracts Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional |
| DatabaseTitle | Civil Engineering Abstracts Technology Research Database Computer and Information Systems Abstracts – Academic Mechanical & Transportation Engineering Abstracts ProQuest Computer Science Collection Computer and Information Systems Abstracts Engineering Research Database Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Professional |
| DatabaseTitleList | Civil Engineering Abstracts |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Computer Science |
| EISSN | 1873-7668 |
| EndPage | 524 |
| ExternalDocumentID | S0898122118305741 |
| GroupedDBID | --K --M -~X .DC .~1 0R~ 1B1 1RT 1~. 1~5 4.4 457 4G. 5GY 5VS 6I. 7-5 71M 8P~ 9JN AACTN AAEDT AAEDW AAFTH AAIAV AAIKJ AAKOC AALRI AAOAW AAQFI AAXUO AAYFN ABAOU ABBOA ABMAC ABVKL ABYKQ ACAZW ACDAQ ACGFS ACIWK ACNCT ACRLP ACZNC ADBBV ADEZE ADTZH AEBSH AECPX AEKER AENEX AEXQZ AFKWA AFTJW AGUBO AGYEJ AHHHB AHJVU AHZHX AIALX AIEXJ AIGVJ AIKHN AITUG AJOXV ALMA_UNASSIGNED_HOLDINGS AMFUW AMRAJ AOUOD ARUGR BJAXD BKOJK BLXMC CS3 DU5 EBS EFJIC EFLBG EJD EO8 EO9 EP2 EP3 F5P FDB FEDTE FIRID FNPLU FYGXN G-Q GBLVA GBOLZ HVGLF IHE IXB J1W JJJVA KOM LG9 M26 M41 MHUIS MO0 N9A O-L O9- OAUVE OK1 OZT P-8 P-9 P2P PC. PQQKQ Q38 RIG RNS ROL RPZ SDF SDG SDP SES SPC SPCBC SST SSV SSW SSZ T5K TN5 XPP ZMT ~G- 7SC 7TB 8FD AATTM AAXKI AAYWO ABJNI ACVFH ADCNI ADVLN AEIPS AEUPX AFPUW AFXIZ AGCQF AGRNS AIGII AIIUN AKBMS AKRWK AKYEP ANKPU EFKBS FR3 JQ2 KR7 L7M L~C L~D SSH |
| ID | FETCH-LOGICAL-e237t-b7d3a023b6ad203f6849957cc15039243f97b8b6504218a4e512f5e504bcea163 |
| IEDL.DBID | IXB |
| ISSN | 0898-1221 |
| IngestDate | Fri Jul 25 05:49:45 EDT 2025 Fri Feb 23 02:33:51 EST 2024 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 2 |
| Keywords | (2+1)-dimensional Heisenberg ferromagnetic spin chain equation Lax pair Nth-order rogue wave solution Darboux transformation |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-e237t-b7d3a023b6ad203f6849957cc15039243f97b8b6504218a4e512f5e504bcea163 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ORCID | 0000-0001-9667-5667 0000-0003-3205-1729 |
| PQID | 2186790212 |
| PQPubID | 2045493 |
| PageCount | 11 |
| ParticipantIDs | proquest_journals_2186790212 elsevier_sciencedirect_doi_10_1016_j_camwa_2018_09_054 |
| PublicationCentury | 2000 |
| PublicationDate | 2019-01-15 20190115 |
| PublicationDateYYYYMMDD | 2019-01-15 |
| PublicationDate_xml | – month: 01 year: 2019 text: 2019-01-15 day: 15 |
| PublicationDecade | 2010 |
| PublicationPlace | Oxford |
| PublicationPlace_xml | – name: Oxford |
| PublicationTitle | Computers & mathematics with applications (1987) |
| PublicationYear | 2019 |
| Publisher | Elsevier Ltd Elsevier BV |
| Publisher_xml | – name: Elsevier Ltd – name: Elsevier BV |
| References | Fahnle, Steiauf, Illg (b61) 2011; 84 Zhang, Ma (b49) 2017; 74 Guo, Ling, Liu (b81) 2018; 130 Chai, Tian, Sun, Xie (b5) 2016; 71 Kavitha, Parasuraman, Gopi, Bhuvaneswari (b19) 2016; 30 Ling, Zhao, Guo (b82) 2016; 32 Ling, Liu (b76) 2010; 43 Guo, Ling, Liu (b80) 2012; 85 Li, Ma (b13) 2018; 50 Solli, Ropers, Koonath, Jalali (b29) 2018; 450 Wu, Zhao, Lei (b33) 2015; 88 Deepa, Philominathan, optical (b58) 2016; 127 Goda, Jalali (b27) 2013; 7 Ma, Zhang (b78) 2018; 30 Gahlaut, Kumar, Pandey, Goswami (b57) 2016; 127 Li, Ma (b3) 2011; 16 Latha, Vasanthi (b68) 2014; 89 Manukure, Zhou, Ma (b47) 2018; 75 Triki, Biswas, Moshokoa, Belic (b7) 2017; 128 Tchokouansi, Kuetche, Kofane (b18) 2016; 86 Yan (b32) 2011; 375 Li, Ma (b22) 2018; 32 Wang, Tian, Qin, Zhang (b39) 2017; 72 Li, Li, Xu, He (b66) 2016; 94 Onorato, Residori, Bortolozzo, Montina, Arecchi (b35) 2013; 528 Li, Ma (b2) 2010; 65 Ma, Li (b24) 2018; 494 Ma, Li, Fu (b74) 2018; 41 Wazwaz (b1) 2008; 201 Lecaplain, Grelu, Soto-Crespo, Akhmediev (b26) 2012; 108 Chabchoub, Hoffmann, Akhmediev (b30) 2011; 106 Guo, Ling, wave (b79) 2011; 28 Mirzazadeh, Ekici, Zhou, Biswas (b10) 2017; 130 Osborne (b25) 2009 Yang, Ma, Qin (b50) 2018; 8 Tang, Wang (b63) 2015; 7 Kibler, Fatome, Finot, Millot, Dias, Genty, Akhmediev, Dudley (b6) 2010; 6 Li, Ma, Yang (b11) 2017; 110 Ankiewicz, Akhmediev (b37) 2018; 91 Li, Ma, Mo, Fu (b15) 2017; 74 Triki, Wazwaz (b69) 2016; 30 Dani, Tahiri, Ez-Zahraouy, Benyoussef (b64) 2015; 85 Hajati, Rashidian (b65) 2016; 92 Chabchoub, Hoffmann, Onorato, Akhmediev (b31) 2012; 2 Ma, Yong, Zhang (b43) 2018; 75 Li, Ma, Yang (b12) 2018; 113 Younis, Rizvi (b23) 2016; 11 Zhao, Ma (b41) 2017; 74 Tang, Wang, Wang (b73) 2017; 88 Tanaka, Ohya, Hai (b54) 2014; 1 Li, Ma (b20) 2018; 31 Li, He (b77) 2014; 57 Islam, Younis, Rizvi (b9) 2017; 130 Li, Ma (b38) 2018; 158 Baronio, Degasperis, Conforti, Wabnitz (b28) 2012; 109 Leng, Li, Ren, Deng, Lin (b52) 2015; 152 Ma, Li (b51) 2019 Zuo, Gao, Xue, Sun, Feng (b67) 2015; 90 Kim (b16) 2015; 92 Glasbrenner, Zutic, Mazin (b55) 2014; 90 Kayani, Kausar, Riaz, Naseem (b59) 2017; 144 Li, Ma (b44) 2018; 76 Wang, Gao, Su, Mao, Gao, Yang (b70) 2015; 363 Yin, Tian, Zhen, Chai, Liu, Sun (b21) 2017; 64 Bazaliy, Jones, Zhang (b62) 2012; 29 Nakane, Tanaka, Hirose (b53) 2018; 6 Ohta, Yang (b34) 2012; 468 Chen, Ma (b45) 2018; 13 Liu, Tian, Jiang, Xie, Wu (b71) 2016; 71 Wazwaz (b4) 2015; 94 Ma (b48) 2018; 133 Zhao, Tian, Liu, Wu, Chai, Guo (b72) 2016; 100 Dietl, Sato, Fukushima, Bonanni, Jamet, Barski, Kuroda, Tanaka, Hai, Katayama-Yoshida (b56) 2015; 87 Yang, Gao, Su, Zuo, D.W., Feng (b8) 2017; 42 Togawa, Koyama, Nishimori, Matsumoto, McVitie, McGrouther, Stamps, Kousaka, Akimitsu, Nishihara, Inoue, Bostrem, Sinitsyn, Ovchinnikov, Kishine (b17) 2015; 92 Li, Ma (b36) 2017; 12 Ma, Zhou, Dougherty (b46) 2016; 30 Zhang, Ma, Li (b14) 2013; 22 Ciornei, Rubi, Wegrowe (b60) 2011; 83 Ma (b40) 2015; 379 Ma, Zhou (b42) 2018; 264 Ma (b75) 1997; 39 |
| References_xml | – volume: 64 start-page: 725 year: 2017 end-page: 731 ident: b21 article-title: Solitons, bilinear Backlund transformations and conservation laws for a (2 ＋1)-dimensional Bogoyavlenskii-Kadontsev-Petviashili equation in a fluid, plasma or ferromagnetic thin film publication-title: J. Modern Opt. – volume: 127 start-page: 4292 year: 2016 end-page: 4295 ident: b57 article-title: Highly luminescent ultra small cu doped zno nanostructures grown by ultrasonicated sol–gel route publication-title: Optik – volume: 6 start-page: 790 year: 2010 end-page: 795 ident: b6 article-title: The Peregrine soliton in nonlinear fibre optics publication-title: Nat. Phys. – volume: 50 start-page: 270 year: 2018 ident: b13 article-title: Solitons resonant behavior for a waveguide directional coupler system in optical fibers publication-title: Opt. Quantum Electron. – volume: 71 start-page: 2001 year: 2016 end-page: 2007 ident: b71 article-title: Analytic study on a (2 ＋1)-dimensional nonlinear Schrödinger equation in the Heisenberg ferromagnetism publication-title: Comput. Math. Appl. – volume: 42 start-page: 477 year: 2017 end-page: 490 ident: b8 article-title: Solitons and quasi-periodic behaviors in an inhomogeneous optical fiber publication-title: Commun. Nonlinear Sci. Numer. Simul. – volume: 528 start-page: 47 year: 2013 end-page: 89 ident: b35 article-title: Rogue waves and their generating mechanisms in different physical contexts publication-title: Phys. Rep. – volume: 130 start-page: 178 year: 2017 end-page: 183 ident: b10 article-title: Exact solitons to generalized resonant dispersive nonlinear Schrödinger’s equation with power law nonlinearity publication-title: Optik – volume: 158 start-page: 177 year: 2018 end-page: 184 ident: b38 article-title: Rogue waves for the optical fiber system with variable coefficients publication-title: Optik – volume: 39 start-page: 33 year: 1997 end-page: 49 ident: b75 article-title: Darboux transformations for a Lax Integrable system in 2n dimensions publication-title: Lett. Math. Phys. – volume: 43 start-page: 434023 year: 2010 ident: b76 article-title: Darboux transformation for a two-component derivative nonlinear schrödinger equation publication-title: J. Phys. A – volume: 57 start-page: 898 year: 2014 end-page: 907 ident: b77 article-title: Darboux transformation and positons of the inhomogeneous Hirota and the Maxwell-Bloch equation publication-title: Sci. China-Phys. Mech. Astr. – volume: 113 start-page: 366 year: 2018 end-page: 372 ident: b12 article-title: Stable optical soliton in the ring-cavity fiber system with carbon nanotube as saturable absorber publication-title: Superlattice Microstruct. – volume: 106 start-page: 204502 year: 2011 ident: b30 article-title: Rogue wave observation in a water wave tank publication-title: Phys. Rev. Lett. – volume: 8 start-page: 427 year: 2018 end-page: 436 ident: b50 article-title: Lump and lump-soliton solutions to the -dimensional Ito equation publication-title: Anal. Math. Phys. – volume: 85 start-page: 894 year: 2015 end-page: 900 ident: b64 article-title: Ferromagnetic and antiferromagnetic properties in nano-films with RKKY interaction publication-title: Supperlattice Microstruct. – volume: 84 start-page: 172403 year: 2011 ident: b61 article-title: Generalized Gilbert equation including inertial damping: Derivation from an extended breathing Fermi surface model publication-title: Phys. Rev. B – volume: 31 start-page: 1773 year: 2018 end-page: 1778 ident: b20 article-title: Rich soliton structures for the Kraenkel-Manna-Merle (KMM) system in ferromagnetic materials publication-title: J. Supercond. Nov. Magn. – volume: 201 start-page: 489 year: 2008 end-page: 503 ident: b1 article-title: The hirota’s direct method for multiple-soliton solutions for three model equations of shallow water waves publication-title: Appl. Math. Comput. – volume: 13 start-page: 525 year: 2018 end-page: 534 ident: b45 article-title: Lump solutions to a generalized Bogoyavlensky-Konopelchenko equation publication-title: Front. Math. China – volume: 22 start-page: 030511 year: 2013 ident: b14 article-title: Novel loop-like solitons for a generalized vakhnenko equation arising from high-frequent wave motion in a relaxing medium publication-title: Chin. Phys. B – volume: 28 start-page: 110202 year: 2011 ident: b79 article-title: Rogue wave breathers and bright-dark-rogue solutions for the coupled schrödinger equations publication-title: Chin. Phys. Lett. – volume: 152 start-page: 185 year: 2015 end-page: 188 ident: b52 article-title: Star-block copolymer micellar nanocomposites with mn, zn-doped nano-ferrite as superparamagnetic mri contrast agent for tumor imaging publication-title: Mater. Lett. – volume: 85 start-page: 026607 year: 2012 ident: b80 article-title: Nonlinear Schrödinger equation generalized Darboux transformation and rogue wave solutions publication-title: Phys. Rev. E – volume: 65 start-page: 518 year: 2010 end-page: 524 ident: b2 article-title: New application of the publication-title: Z. Naturfors. Sect. A-J. Phys. Sci. – volume: 86 start-page: 64 year: 2016 end-page: 74 ident: b18 article-title: On the propagation of solitons in ferrites: The inverse scattering approach publication-title: Chaos Solitons Fractals – volume: 100 start-page: 587 year: 2016 end-page: 595 ident: b72 article-title: Dark solitons interaction for a (2 ＋1)-dimensional nonlinear Schrödinger equation in the Heisenberg ferromagnetic spin chain publication-title: Supperlatt. Microstruct. – volume: 83 start-page: 020410 year: 2011 ident: b60 article-title: Magnetization dynamics in the inertial regime: Nutation predicted at short time scales publication-title: Phys. Rev. B – volume: 89 start-page: 065204 year: 2014 ident: b68 article-title: An integrable model of (2 ＋1)-dimensional Heisenberg ferromagnetic spin chain and soliton excitations publication-title: Phys. Scr. – volume: 29 start-page: 2137 year: 2012 end-page: 2141 ident: b62 article-title: Modification of the Landau-Lifshitz equation in the presence of a spin-polarized current in CMR and GMR materials publication-title: Phys. Rev. B – volume: 30 start-page: 788 year: 2016 end-page: 794 ident: b69 article-title: New solitons and periodic wave solutions for the (2 ＋1)-dimensional Heisenberg ferromagnetic spin chain equation publication-title: J. Electromagn. Waves Appl. – volume: 468 start-page: 1716 year: 2012 end-page: 1740 ident: b34 article-title: General high-order rogue waves and their dynamics in the nonlinear Schrödinger equation publication-title: Proc. R. Soc. A – volume: 6 start-page: 4462 year: 2018 end-page: 4469 ident: b53 article-title: Reservoir computing with spin waves excited in a garnet film publication-title: IEEE Access – volume: 108 start-page: 233901 year: 2012 ident: b26 article-title: Dissipative rogue waves generated by chaotic pulse bunching in a mode-locked laser publication-title: Phys. Rev. Lett. – volume: 1 start-page: 011102 year: 2014 ident: b54 article-title: Recent progress in III-V based ferromagnetic semiconductors: Band structure, Fermi level, and tunneling transport publication-title: Appl. Phys. Rev. – volume: 379 start-page: 1975 year: 2015 end-page: 1978 ident: b40 article-title: Lump solutions to the Kadomtsev–Petviashvili equation publication-title: Phys. Lett. A – volume: 30 start-page: 1850003 year: 2018 ident: b78 article-title: Darboux transformations of integrable couplings and applications publication-title: Rev. Math. Phys. – volume: 133 start-page: 10 year: 2018 end-page: 16 ident: b48 article-title: Abundant lumps and their interaction solutions of (3 ＋1)-dimensional linear pdes publication-title: J. Geom. Phys. – volume: 7 start-page: 4325 year: 2015 end-page: 4337 ident: b63 article-title: Electrical spin injection and transport in semiconductor nanowires: Challenges, progress and perspectives publication-title: Nanoscale – volume: 375 start-page: 4274 year: 2011 end-page: 4279 ident: b32 article-title: Vector financial rogue waves publication-title: Phys. Lett. A – volume: 88 start-page: 2319 year: 2017 end-page: 2327 ident: b73 article-title: Solitons and complexitons solutions of an integrable model of (2 ＋1)-dimensional Heisenberg ferromagnetic spin chain publication-title: Nonlinear Dynam. – volume: 74 start-page: 504 year: 2017 end-page: 512 ident: b15 article-title: The N-loop soliton solutions for (2 ＋1)-dimensional Vakhnenko equation publication-title: Comput. Math. Appl. – volume: 87 start-page: 1311 year: 2015 end-page: 1377 ident: b56 article-title: Spinodal nanodecomposition in semiconductors doped with transition metals publication-title: Rev. Modern Phys. – volume: 76 start-page: 204 year: 2018 end-page: 214 ident: b44 article-title: The multiple-lump waves for a (3 ＋1)-dimensional Boiti-Leon-Manna-Pempinelli equation arising from incompressible fluid publication-title: Comput. Math. Appl. – volume: 91 start-page: 1931 year: 2018 end-page: 1938 ident: b37 article-title: Rogue wave-type solutions of the mKdV equation and their relation to known NLSE rogue wave solutions publication-title: Nonlinear Dynam. – volume: 12 start-page: 1397 year: 2017 end-page: 1401 ident: b36 article-title: Gaussian rogue waves for a nonlinear variable coefficient schrödinger system in inhomogeneous optical nanofibers publication-title: J. Nanoelectr. Optoelectr. – volume: 74 start-page: 591 year: 2017 end-page: 596 ident: b49 article-title: Mixed lump-kink solutions to the BKP equation publication-title: Comput. Math. Appl. – volume: 90 start-page: 140403 year: 2014 ident: b55 article-title: Theory of Mn-doped II-II-V semiconductors publication-title: Phys. Rev. B – volume: 92 start-page: 264 year: 2016 end-page: 277 ident: b65 article-title: Gate-controlled spin and valley polarization transport in a ferromagnetic/nonmagnetic/ferromagnetic silicene junction publication-title: Supperlattice Microstruct. – volume: 130 start-page: 317 year: 2018 end-page: 344 ident: b81 article-title: High-order solutions and generalized darboux transformations of derivative nonlinear Schrödinger equations publication-title: Stud. Appl. Math. – volume: 92 start-page: 220412 year: 2015 ident: b17 article-title: Magnetic soliton confinement and discretization effects arising from macroscopic coherence in a chiral spin soliton lattice publication-title: Phys. Rev. B – volume: 75 start-page: 2414 year: 2018 end-page: 2419 ident: b47 article-title: Lump solutions to a (2 ＋1)-dimensional extended KP equation publication-title: Comput. Math. Appl. – volume: 363 start-page: 440 year: 2015 end-page: 456 ident: b70 article-title: Dark solitonic interaction and conservation laws for a higher-order (2 ＋1)-dimensional nonlinear Schrödinger-type equation in a Heisenberg ferromagnetic spin chain with bilinear and biquadratic interaction publication-title: Ann. Phys. – volume: 130 start-page: 526 year: 2017 end-page: 576 ident: b9 article-title: Optical solitons with time fractional nonlinear Schrödinger equation and competing weakly nonlocal nonlinearity publication-title: Optik – volume: 110 start-page: 126 year: 2017 end-page: 132 ident: b11 article-title: The oscillating collisions between the three solitons for a dual-mode fiber coupler system publication-title: Superlattice Microstruct. – volume: 2 start-page: 011015 year: 2012 ident: b31 article-title: Super rogue waves: Observation of a higher-order breather in water waves publication-title: Phys. Rev. X – volume: 92 start-page: 014418 year: 2015 ident: b16 article-title: Role of nonlinear anisotropic damping in the magnetization dynamics of topological solitons publication-title: Phys. Rev. B – volume: 494 start-page: 169 year: 2018 end-page: 174 ident: b24 article-title: The wrinkle-like n-solitons for the thermophoretic motion equation through graphene sheets publication-title: Physica A – year: 2009 ident: b25 article-title: Nonlinear Ocean Wave – volume: 75 start-page: 289 year: 2018 end-page: 295 ident: b43 article-title: Diversity of interaction solutions to the (2 ＋1)-dimensional Ito equation publication-title: Comput. Math. Appl. – volume: 74 start-page: 1399 year: 2017 end-page: 1405 ident: b41 article-title: Mixed lump-kink solutions to the KP equation publication-title: Comput. Math. Appl. – volume: 90 start-page: 035201 year: 2015 ident: b67 article-title: Rogue-wave interaction for the heisenberg ferromagnetism system publication-title: Phys. Scr. – volume: 41 start-page: 3316 year: 2018 end-page: 3322 ident: b74 article-title: A series of the solutions for the heisenberg ferromagnetic spin chain equation publication-title: Math. Methods Appl. Sci. – volume: 128 start-page: 63 year: 2017 end-page: 70 ident: b7 article-title: Optical solitons and conservation laws with quadratic-cubic nonlinearity publication-title: Optik – volume: 32 start-page: 1275 year: 2018 end-page: 1286 ident: b22 article-title: Loop-like periodic waves and solitons to the Kraenkel-Manna-Merle system in ferrites publication-title: J. Electromagnet. Waves Appl. – volume: 11 start-page: 276 year: 2016 end-page: 279 ident: b23 article-title: Optical soliton like-pulses in ring-cavity fiber lasers of carbon nanotubes publication-title: J. Nanoelectr. Optoelectr. – volume: 94 start-page: 042220 year: 2016 ident: b66 article-title: Breathers and rogue waves excited by all-magnonic spin-transfer torque publication-title: Phys. Rev. E – volume: 127 start-page: 8698 year: 2016 end-page: 8705 ident: b58 article-title: Investigation on the optical mechanical and magnetic properties of organic NLO single crystal: Pyridine 3-carboxylic acid publication-title: Optik – year: 2019 ident: b51 article-title: Analytic rogue wave solutions for a generalized fourth order boussinesq equation in fluid mechanics publication-title: Math. Methods Appl. Sci. – volume: 71 start-page: 2060 year: 2016 end-page: 2068 ident: b5 article-title: Solitons and rouge waves for a generalized (3 ＋1)-dimensional variable-coefficient kadomtsev–petviashvili equation in fluid mechanics publication-title: Comput. Math. Appl. – volume: 72 start-page: 58 year: 2017 end-page: 64 ident: b39 article-title: Characteristics of the solitary waves and rogue waves with interaction phenomena in a generalized (3 ＋1)-dimensional Kadomtsev–Petviashvili equation publication-title: Appl. Math. Lett. – volume: 94 start-page: 111 year: 2015 end-page: 115 ident: b4 article-title: Gaussian solitary waves for the logarithmic boussinesq equation and the logarithmic regularized boussinesq equation publication-title: Ocean Eng. – volume: 7 start-page: 102 year: 2013 end-page: 112 ident: b27 article-title: Dispersive fourier transformation for fast continuous single-shot measurements publication-title: Nat. Phot. – volume: 88 start-page: 297 year: 2015 ident: b33 article-title: The effects of background fields on vector financial rogue wave pattern publication-title: Eur. Phys. J. B – volume: 32 start-page: 285 year: 2016 end-page: 304 ident: b82 article-title: Darboux transformation and classification of solution for mixed coupled nonlinear Schrödinger equations publication-title: Commun. Nonlinear Sci. – volume: 109 start-page: 044102 year: 2012 ident: b28 article-title: Solutions of the vector nonlinear Schrödinger equations: Evidence for deterministic rogue waves publication-title: Phys. Rev. Lett. – volume: 144 start-page: 172 year: 2017 end-page: 179 ident: b59 article-title: Effect of aluminum doping concentration on optical, magnetic and microstructural properties of MnZnO thin films publication-title: Optik – volume: 264 start-page: 2633 year: 2018 end-page: 2659 ident: b42 article-title: Lump solutions to nonlinear partial differential equations via Hirota bilinear forms publication-title: J. Differential Equations – volume: 450 year: 2018 ident: b29 article-title: Optical rogue waves publication-title: Nature – volume: 30 start-page: 28 year: 2016 end-page: 29 ident: b46 article-title: Lump-type solutions to nonlinear differential equations derived from generalized bilinear equations publication-title: Internat. J. Modern Phys. B – volume: 30 start-page: 740 year: 2016 end-page: 766 ident: b19 article-title: Propagation of electromagnetic solitons in an antiferromagnetic spinladder medium publication-title: J. Electromagnet. Waves Appl. – volume: 16 start-page: 144 year: 2011 end-page: 149 ident: b3 article-title: The non-traveling wave solutions and novel fractal soliton for the (2 ＋1)-dimensional Broer-Kaup equations with variable coefficients publication-title: Commun. Nonlinear Sci. Numer. Simul. |
| SSID | ssj0004320 |
| Score | 2.5283406 |
| Snippet | A new (2+1)-dimensional Heisenberg ferromagnetic spin chain equation is investigated, which can be used to describe magnetic soliton excitations in two... |
| SourceID | proquest elsevier |
| SourceType | Aggregation Database Publisher |
| StartPage | 514 |
| SubjectTerms | (2+1)-dimensional Heisenberg ferromagnetic spin chain equation [formula omitted]th-order rogue wave solution Chains Darboux transformation Ferromagnetism Lax pair Transformations |
| Title | Lax pair, Darboux transformation and Nth-order rogue wave solutions for a (2+1)-dimensional Heisenberg ferromagnetic spin chain equation |
| URI | https://dx.doi.org/10.1016/j.camwa.2018.09.054 https://www.proquest.com/docview/2186790212 |
| Volume | 77 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVESC databaseName: Baden-Württemberg Complete Freedom Collection (Elsevier) customDbUrl: eissn: 1873-7668 dateEnd: 99991231 omitProxy: true ssIdentifier: ssj0004320 issn: 0898-1221 databaseCode: GBLVA dateStart: 20110101 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier – providerCode: PRVESC databaseName: Elsevier SD Complete Freedom Collection (subscription) customDbUrl: eissn: 1873-7668 dateEnd: 20210915 omitProxy: true ssIdentifier: ssj0004320 issn: 0898-1221 databaseCode: ACRLP dateStart: 19950101 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier – providerCode: PRVESC databaseName: Elsevier SD Freedom Collection customDbUrl: eissn: 1873-7668 dateEnd: 99991231 omitProxy: true ssIdentifier: ssj0004320 issn: 0898-1221 databaseCode: .~1 dateStart: 19950101 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier – providerCode: PRVESC databaseName: Elsevier SD Freedom Collection Journals [SCFCJ] customDbUrl: eissn: 1873-7668 dateEnd: 20211003 omitProxy: true ssIdentifier: ssj0004320 issn: 0898-1221 databaseCode: AIKHN dateStart: 19950101 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier – providerCode: PRVESC databaseName: ScienceDirect customDbUrl: eissn: 1873-7668 dateEnd: 20211003 omitProxy: true ssIdentifier: ssj0004320 issn: 0898-1221 databaseCode: IXB dateStart: 19750101 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier – providerCode: PRVLSH databaseName: Elsevier Journals customDbUrl: mediaType: online eissn: 1873-7668 dateEnd: 99991231 omitProxy: true ssIdentifier: ssj0004320 issn: 0898-1221 databaseCode: AKRWK dateStart: 19750101 isFulltext: true providerName: Library Specific Holdings |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1LT9wwELaAXnqhtLQqha7m0EMRuLtZOw8fKSraPtgLIO3NGjsOBInskg2PE2d-dsdOQmmPvURyNIoiz3jmG2vmG8Y-KcoBkiQ1PC4SyWWBCc-cUlzEUhq0cmxDb9XxNJmcyR-zeLbCDvteGF9W2fn-1qcHb929GXa7OVyU5fBklCmKTpTAZGSzaWheFzINTXyzr396I0VLzUjC3Ev3zEOhxsvi1Z0nH4qyQHbqZwI8C0n_OOcQcY422HoHFeGg_ZvXbMVVb9irfgwDdKdykz3-wntYYFnvg79vnt_cQ_MMjs4rwCqHaXPBA88m1P62Bu7w1sGT4QEJA8Ln8V60y3PP-N-ydcDElcu2CAwKV9fzKzyvfN8jLBdlBfYC6emuW77wt-zs6Nvp4YR3Axa4G4u04SbNBVLQNgnm45Eokozynzi1llAi4SYpCpWazBCIk4QEUDpCB0XsaGmsQ0Jy79haNa_cewY-UzEqMhJRSWEJdioXqxztSOYoTLbFkn5j9V_61eS6dV9qdqmDRrTXiB4pTRrZYju9GnR3vJbaD9JKlWen__C_391mL2nla8V4FO-wtaa-cR8JXzRmwFa_PEQD9uLg-8_JdBDM6Tezw9F8 |
| linkProvider | Elsevier |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1LT9wwELZWuwd6KYW2KrCFOXAoAmsfcR4-IlQU2GUvgMTNGjtOCRLZJZst-xP6szvOg0KPXCIlcSLLM575xpr5hrFDSTFAEISa-2kguEgx4JGVknu-EBqNGJuqtupqFsS34vLOv-uws7YWxqVVNra_tumVtW6eDJrVHCyybHA9jCR5JwpgItLZ0BWv94RPNrnLeqcXk3j2rzzSq9kZaTx3H7TkQ1Wal8HHZ8c_NIoqvlPXFuCVV_rPPldO5_wT-9igRTitJ7TFOjbfZpttJwZoNuZn9meKa1hgVpyAO3Ker9ZQvkKk8xwwT2BW3vOKahMKd2ADz_jbwovuAQ0GhB_j49ERTxzpf03YAbHNlnUeGKS2KOaP-Ct3pY-wXGQ5mHukq32qKcO_sNvznzdnMW96LHA79sKS6zDxkPy2DjAZD700iCgE8kNjCCgSdBJeKkMdacJxgsAACksAIfUt3WpjkcDcV9bN57n9xsAFK1qOtECUwjOEPKX1ZYJmKBL0dLTDgnZh1RsRK7Leqs02e1CVRJSTiBpKRRLZYf1WDKrZYUvlemmF0hHU7773vwdsI765mqrpxWyyxz7QG5c6xkd-n3XLYmW_E9wo9X6jTn8B6HDTHw |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Lax+pair%2C+Darboux+transformation+and+Nth-order+rogue+wave+solutions+for+a+%282%2B1%29-dimensional+Heisenberg+ferromagnetic+spin+chain+equation&rft.jtitle=Computers+%26+mathematics+with+applications+%281987%29&rft.au=Li%2C+Bang-Qing&rft.au=Ma%2C+Yu-Lan&rft.date=2019-01-15&rft.pub=Elsevier+BV&rft.issn=0898-1221&rft.eissn=1873-7668&rft.volume=77&rft.issue=2&rft.spage=514&rft_id=info:doi/10.1016%2Fj.camwa.2018.09.054&rft.externalDBID=NO_FULL_TEXT |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0898-1221&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0898-1221&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0898-1221&client=summon |