Soliton solutions to constrained nonlocal integrable nonlinear Schrödinger hierarchies of type (−λ,λ)
The paper aims to generate nonlocal integrable nonlinear Schrödinger hierarchies of type ( − λ , λ ) by imposing two nonlocal matrix restrictions of the AKNS matrix characteristic-value problems of arbitrary order. Based on the explored outspreading of characteristic-values and adjoint characteristi...
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| Published in | International journal of geometric methods in modern physics Vol. 20; no. 6 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Singapore
World Scientific Publishing Company
01.05.2023
World Scientific Publishing Co. Pte., Ltd |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0219-8878 1793-6977 |
| DOI | 10.1142/S0219887823500986 |
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| Abstract | The paper aims to generate nonlocal integrable nonlinear Schrödinger hierarchies of type
(
−
λ
,
λ
)
by imposing two nonlocal matrix restrictions of the AKNS matrix characteristic-value problems of arbitrary order. Based on the explored outspreading of characteristic-values and adjoint characteristic-values, exact soliton solutions are formulated by applying the associated reflectionless generalized Riemann–Hilbert problems, in which characteristic-values and adjoint characteristic-values could have a nonempty intersection. Illustrative models of the resultant mixed-type nonlocal integrable nonlinear Schrödinger equations are presented. |
|---|---|
| AbstractList | The paper aims to generate nonlocal integrable nonlinear Schrödinger hierarchies of type
(
−
λ
,
λ
)
by imposing two nonlocal matrix restrictions of the AKNS matrix characteristic-value problems of arbitrary order. Based on the explored outspreading of characteristic-values and adjoint characteristic-values, exact soliton solutions are formulated by applying the associated reflectionless generalized Riemann–Hilbert problems, in which characteristic-values and adjoint characteristic-values could have a nonempty intersection. Illustrative models of the resultant mixed-type nonlocal integrable nonlinear Schrödinger equations are presented. The paper aims to generate nonlocal integrable nonlinear Schrödinger hierarchies of type (−λ,λ) by imposing two nonlocal matrix restrictions of the AKNS matrix characteristic-value problems of arbitrary order. Based on the explored outspreading of characteristic-values and adjoint characteristic-values, exact soliton solutions are formulated by applying the associated reflectionless generalized Riemann–Hilbert problems, in which characteristic-values and adjoint characteristic-values could have a nonempty intersection. Illustrative models of the resultant mixed-type nonlocal integrable nonlinear Schrödinger equations are presented. The paper aims to generate nonlocal integrable nonlinear Schrödinger hierarchies of type [Formula: see text] by imposing two nonlocal matrix restrictions of the AKNS matrix characteristic-value problems of arbitrary order. Based on the explored outspreading of characteristic-values and adjoint characteristic-values, exact soliton solutions are formulated by applying the associated reflectionless generalized Riemann–Hilbert problems, in which characteristic-values and adjoint characteristic-values could have a nonempty intersection. Illustrative models of the resultant mixed-type nonlocal integrable nonlinear Schrödinger equations are presented. |
| Author | Ma, Wen-Xiu |
| Author_xml | – sequence: 1 givenname: Wen-Xiu surname: Ma fullname: Ma, Wen-Xiu |
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| Cites_doi | 10.1016/j.physleta.2018.10.051 10.1016/j.joes.2021.09.006 10.3390/sym13112205 10.1007/s40819-022-01422-1 10.1088/0305-4470/25/20/014 10.1063/1.4997835 10.1088/0305-4470/22/13/031 10.3390/sym13030512 10.1016/j.cnsns.2016.06.015 10.1016/j.aml.2021.107209 10.1016/j.jde.2017.10.033 10.1016/j.padiff.2021.100190 10.1002/mma.5416 10.1090/bproc/116 10.1090/proc/15174 10.1111/sapm.12329 10.1017/CBO9780511546723 10.1016/j.geomphys.2021.104347 10.1016/j.aml.2019.106161 10.1134/S0040577918100033 10.1088/0951-7715/29/3/915 10.1088/0305-4470/26/11/009 10.1111/sapm.12153 10.1016/j.physd.2021.133078 10.1137/1.9780898719680 10.3390/math7070573 10.1088/1572-9494/ac75e0 |
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| Keywords | nonlinear Schrödinger equations soliton solution nonlocal integrable equation Integrable hierarchy Riemann–Hilbert problem |
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| References | Ma W. X. (S0219887823500986BIB018) 2022; 430 Ma W. X. (S0219887823500986BIB020) 1992; 25 Gesztesy F. (S0219887823500986BIB025) 2003 Yang J. (S0219887823500986BIB013) 2019; 383 Ma W. X. (S0219887823500986BIB014) 2021; 149 Ablowitz M. J. (S0219887823500986BIB003) 2016; 29 Ma W. X. (S0219887823500986BIB005) 2020; 145 Sulaiman T. A. (S0219887823500986BIB023) 2021; 169 Ma W. X. (S0219887823500986BIB017) 2019; 42 Ma W. X. (S0219887823500986BIB021) 1993; 26 Grahovski G. G. (S0219887823500986BIB008) 2018; 197 Ma W. X. (S0219887823500986BIB004) 2020; 102 Ma W. X. (S0219887823500986BIB002) 2021; 4 Ling L. M. (S0219887823500986BIB006) 2021; 13 Xin X. P. (S0219887823500986BIB029) 2021; 119 Yusuf A. (S0219887823500986BIB024) 2022; 7 Ma W. X. (S0219887823500986BIB015) 2022; 74 Gürses M. (S0219887823500986BIB009) 2018; 59 Ablowitz M. J. (S0219887823500986BIB001) 2017; 139 Ma W. X. (S0219887823500986BIB027) 2022; 9 Novikov S. P. (S0219887823500986BIB010) 1984 Yang J. (S0219887823500986BIB012) 2010 Tu G. Z. (S0219887823500986BIB019) 1989; 22 Kawata T. (S0219887823500986BIB011) 1984 Ma W. X. (S0219887823500986BIB022) 2018; 264 Ma W. X. (S0219887823500986BIB026) 2019; 7 Ma W. X. (S0219887823500986BIB030) 2012; 1 Ji J. L. (S0219887823500986BIB007) 2017; 42 Ma W. X. (S0219887823500986BIB016) 2022; 8 Ma W. X. (S0219887823500986BIB028) 2021; 13 |
| References_xml | – volume: 383 start-page: 328 year: 2019 ident: S0219887823500986BIB013 publication-title: Phys. Lett. A doi: 10.1016/j.physleta.2018.10.051 – volume: 7 year: 2022 ident: S0219887823500986BIB024 publication-title: J. Ocean Eng. Sci. doi: 10.1016/j.joes.2021.09.006 – volume: 13 start-page: 2205 year: 2021 ident: S0219887823500986BIB028 publication-title: Symmetry doi: 10.3390/sym13112205 – volume: 8 start-page: 206 year: 2022 ident: S0219887823500986BIB016 publication-title: Int. J. Appl. Comput. Math. doi: 10.1007/s40819-022-01422-1 – volume: 1 start-page: 1 year: 2012 ident: S0219887823500986BIB030 publication-title: Global J. Math. Sci. – volume-title: Theory of Solitons: The Inverse Scattering Method year: 1984 ident: S0219887823500986BIB010 – volume: 25 start-page: 5329 year: 1992 ident: S0219887823500986BIB020 publication-title: J. Phys. A: Math. Gen. doi: 10.1088/0305-4470/25/20/014 – start-page: 210 volume-title: Advances in Nonlinear Waves year: 1984 ident: S0219887823500986BIB011 – volume: 59 start-page: 051501 year: 2018 ident: S0219887823500986BIB009 publication-title: J. Math. Phys. doi: 10.1063/1.4997835 – volume: 22 start-page: 2375 year: 1989 ident: S0219887823500986BIB019 publication-title: J. Phys. A: Math. Gen. doi: 10.1088/0305-4470/22/13/031 – volume: 13 start-page: 512 year: 2021 ident: S0219887823500986BIB006 publication-title: Symmetry doi: 10.3390/sym13030512 – volume: 42 start-page: 699 year: 2017 ident: S0219887823500986BIB007 publication-title: Commun. Nonlinear Sci. Numer. Simul. doi: 10.1016/j.cnsns.2016.06.015 – volume: 119 start-page: 107209 year: 2021 ident: S0219887823500986BIB029 publication-title: Appl. Math. Lett. doi: 10.1016/j.aml.2021.107209 – volume: 264 start-page: 2633 year: 2018 ident: S0219887823500986BIB022 publication-title: J. Differ. Equ. doi: 10.1016/j.jde.2017.10.033 – volume: 4 start-page: 100190 year: 2021 ident: S0219887823500986BIB002 publication-title: Partial Differ. Equ. Appl. Math. doi: 10.1016/j.padiff.2021.100190 – volume: 42 start-page: 1099 year: 2019 ident: S0219887823500986BIB017 publication-title: Math. Methods Appl. Sci. doi: 10.1002/mma.5416 – volume: 9 start-page: 1 year: 2022 ident: S0219887823500986BIB027 publication-title: Proc. Amer. Math. Soc. Ser. B doi: 10.1090/bproc/116 – volume: 149 start-page: 251 year: 2021 ident: S0219887823500986BIB014 publication-title: Proc. Amer. Math. Soc. doi: 10.1090/proc/15174 – volume: 145 start-page: 563 year: 2020 ident: S0219887823500986BIB005 publication-title: Stud. Appl. Math. doi: 10.1111/sapm.12329 – volume-title: Soliton Equations and their Algebro-geometric Solutions: (1+1)-Dimensional Continuous Models year: 2003 ident: S0219887823500986BIB025 doi: 10.1017/CBO9780511546723 – volume: 169 start-page: 104347 year: 2021 ident: S0219887823500986BIB023 publication-title: J. Geom. Phys. doi: 10.1016/j.geomphys.2021.104347 – volume: 102 start-page: 106161 year: 2020 ident: S0219887823500986BIB004 publication-title: Appl. Math. Lett. doi: 10.1016/j.aml.2019.106161 – volume: 197 start-page: 1430 year: 2018 ident: S0219887823500986BIB008 publication-title: Theor. Math. Phys. doi: 10.1134/S0040577918100033 – volume: 29 start-page: 915 year: 2016 ident: S0219887823500986BIB003 publication-title: Nonlinearity doi: 10.1088/0951-7715/29/3/915 – volume: 26 start-page: 2573 year: 1993 ident: S0219887823500986BIB021 publication-title: J. Phys. A: Math. Gen. doi: 10.1088/0305-4470/26/11/009 – volume: 139 start-page: 7 year: 2017 ident: S0219887823500986BIB001 publication-title: Stud. Appl. Math. doi: 10.1111/sapm.12153 – volume: 430 start-page: 133078 year: 2022 ident: S0219887823500986BIB018 publication-title: Physica D doi: 10.1016/j.physd.2021.133078 – volume-title: Nonlinear Waves in Integrable and Nonintegrable Systems year: 2010 ident: S0219887823500986BIB012 doi: 10.1137/1.9780898719680 – volume: 7 start-page: 573 year: 2019 ident: S0219887823500986BIB026 publication-title: Mathematics doi: 10.3390/math7070573 – volume: 74 start-page: 065002 year: 2022 ident: S0219887823500986BIB015 publication-title: Commun. Theor. Phys. doi: 10.1088/1572-9494/ac75e0 |
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| Snippet | The paper aims to generate nonlocal integrable nonlinear Schrödinger hierarchies of type
(
−
λ
,
λ
)
by imposing two nonlocal matrix restrictions of the AKNS... The paper aims to generate nonlocal integrable nonlinear Schrödinger hierarchies of type [Formula: see text] by imposing two nonlocal matrix restrictions of... The paper aims to generate nonlocal integrable nonlinear Schrödinger hierarchies of type (−λ,λ) by imposing two nonlocal matrix restrictions of the AKNS matrix... |
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| Title | Soliton solutions to constrained nonlocal integrable nonlinear Schrödinger hierarchies of type (−λ,λ) |
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