Dynamical Behavior of Solution in Integrable Nonlocal Lakshmanan–Porsezian–Daniel Equation
The integrable nonlocal Lakshmanan–Porsezian–Daniel（LPD） equation which has the higher-order terms（dispersions and nonlinear effects） is first introduced. We demonstrate the integrability of the nonlocal LPD equation,provide its Lax pair, and present its rational soliton solutions and self-potential...
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| Published in | Communications in theoretical physics Vol. 65; no. 6; pp. 671 - 676 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
01.06.2016
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| Online Access | Get full text |
| ISSN | 0253-6102 1572-9494 |
| DOI | 10.1088/0253-6102/65/6/671 |
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| Abstract | The integrable nonlocal Lakshmanan–Porsezian–Daniel（LPD） equation which has the higher-order terms（dispersions and nonlinear effects） is first introduced. We demonstrate the integrability of the nonlocal LPD equation,provide its Lax pair, and present its rational soliton solutions and self-potential function by using the degenerate Darboux transformation. From the numerical plots of solutions, the compression effects of the real refractive index profile and the gain-or-loss distribution produced by δ are discussed. |
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| AbstractList | The integrable nonlocal Lakshmanan-Porsezian-Daniel (LPD) equation which has the higher-order terms (dispersions and nonlinear effects) is first introduced. We demonstrate the integrability of the nonlocal LPD equation, provide its Lax pair, and present its rational soliton solutions and self-potential function by using the degenerate Darboux transformation. From the numerical plots of solutions, the compression effects of the real refractive index profile and the gain-or-loss distribution produced by delta are discussed. The integrable nonlocal Lakshmanan–Porsezian–Daniel（LPD） equation which has the higher-order terms（dispersions and nonlinear effects） is first introduced. We demonstrate the integrability of the nonlocal LPD equation,provide its Lax pair, and present its rational soliton solutions and self-potential function by using the degenerate Darboux transformation. From the numerical plots of solutions, the compression effects of the real refractive index profile and the gain-or-loss distribution produced by δ are discussed. |
| Author | 柳伟 邱德勤 吴志伟 贺劲松 |
| AuthorAffiliation | School of Mathematical Sciences, University of Science and Technology of China, Hefei 230026, China Department of Mathematics, Ningbo University, Ningbo 315211, China |
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| Cites_doi | 10.1007/s11425-006-2025-1 10.1016/j.physleta.2015.06.034 10.1088/0253-6102/25/2/241 10.1016/0375-9601(88)90520-8 10.1126/science.1258480 10.1140/epjb/e2009-00356-3 10.1017/S0334270000003891 10.1143/JPSJ.32.1681 10.1103/PhysRevLett.80.5243 10.1103/PhysRevLett.103.123601 10.1103/PhysRevE.87.052914 10.1088/0253-6102/25/3/365 10.1103/PhysRevLett.110.064105 10.1063/1.529658 10.1088/0305-4470/36/25/312 10.1098/rsta.2012.0059 10.1364/OL.37.000764 10.1103/PhysRevE.87.053202 10.1143/JPSJ.34.1289 10.1103/PhysRevLett.110.233902 10.1103/PhysRevLett.89.270401 10.1103/PhysRevE.91.033202 10.1038/nphys1515 10.1103/PhysRevLett.103.093902 10.1103/PhysRevE.55.3785 10.1088/0034-4885/70/6/R03 |
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| DocumentTitleAlternate | Dynamical Behavior of Solution in Integrable Nonlocal Lakshmanan–Porsezian–Daniel Equation |
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| Notes | nonlocal Lakshmanan–Porsezian–Daniel equation parity-time-symmetry higher-order nonlinear effect refractive index profile gain-or-loss distribution The integrable nonlocal Lakshmanan–Porsezian–Daniel（LPD） equation which has the higher-order terms（dispersions and nonlinear effects） is first introduced. We demonstrate the integrability of the nonlocal LPD equation,provide its Lax pair, and present its rational soliton solutions and self-potential function by using the degenerate Darboux transformation. From the numerical plots of solutions, the compression effects of the real refractive index profile and the gain-or-loss distribution produced by δ are discussed. Wei Liu , De-Qin Qiu, Zhi-Wei Wu ,Jing-Song He （1.School of Mathematical Sciences, University of Science and Technology of China, Hefei 230026, China; 2.Department of Mathematics, Ningbo University, Ningbo 315211, China） 11-2592/O3 ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
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| References | 22 23 24 Kivshar Y.S. (3) 2003 Zakharov V.E. (1) 1972; 34 Wu Z.W. (25) 2016; 68 Mostafazadeh A. (17) 2003; 36 Lou S.Y. (29) 1996; 2 Lou S.Y. (28) 31 10 32 11 Song C.Q. (26) 13 14 15 16 18 19 Lou S.Y. (30) 1996; 3 2 Ma L.Y. (27) 4 5 6 7 8 9 Bender C.M. (12) 2007; 70 20 21 |
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| Snippet | The integrable nonlocal Lakshmanan–Porsezian–Daniel（LPD） equation which has the higher-order terms（dispersions and nonlinear effects） is first introduced.... The integrable nonlocal Lakshmanan-Porsezian-Daniel (LPD) equation which has the higher-order terms (dispersions and nonlinear effects) is first introduced. We... |
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| SubjectTerms | Compressing Darboux变换 Dispersions Lax对 Mathematical analysis Mathematical models Nonlinearity Refractive index Refractivity Transformations (mathematics) 动力学行为 压缩效果 可积性 折射率剖面 潜在功能 非线性效应 |
| Title | Dynamical Behavior of Solution in Integrable Nonlocal Lakshmanan–Porsezian–Daniel Equation |
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