Soliton solutions to constrained nonlocal integrable nonlinear Schrodinger hierarchies of type (-λ,λ)

被引:57
作者
Ma, Wen-Xiu [1 ,2 ,3 ,4 ]
机构
[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China
[2] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia
[3] Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA
[4] North West Univ, Sch Math & Stat Sci, Mafikeng Campus,Private Bag X2046, ZA-2735 Mmabatho, South Africa
关键词
Integrable hierarchy; Riemann-Hilbert problem; nonlocal integrable equation; nonlinear Schrodinger equations; soliton solution; INVERSE SCATTERING; EQUATIONS;
D O I
10.1142/S0219887823500986
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The paper aims to generate nonlocal integrable nonlinear Schrodinger hierarchies of type (-lambda,lambda) 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 Schrodinger equations are presented.
引用
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页数:16
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共 30 条
[1]   Integrable Nonlocal Nonlinear Equations [J].
Ablowitz, Mark J. ;
Musslimani, Ziad H. .
STUDIES IN APPLIED MATHEMATICS, 2017, 139 (01) :7-59
[2]   Inverse scattering transform for the integrable nonlocal nonlinear Schrodinger equation [J].
Ablowitz, Mark J. ;
Musslimani, Ziad H. .
NONLINEARITY, 2016, 29 (03) :915-946
[3]  
Gesztesy F., 2003, SOLITON EQUATIONS TH
[4]   Nonlocal Reductions of The Multicomponent Nonlinear Schrodinger Equation on Symmetric Spaces [J].
Grahovski, G. G. ;
Mustafa, J. I. ;
Susanto, H. .
THEORETICAL AND MATHEMATICAL PHYSICS, 2018, 197 (01) :1430-1450
[5]   Nonlocal nonlinear Schrodinger equations and their soliton solutions [J].
Gurses, Metin ;
Pekcan, Asli .
JOURNAL OF MATHEMATICAL PHYSICS, 2018, 59 (05)
[6]   On a nonlocal modified Korteweg-de Vries equation: Integrability, Darboux transformation and soliton solutions [J].
Ji, Jia-Liang ;
Zhu, Zuo-Nong .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2017, 42 :699-708
[7]  
Kawata T., 1984, Advances in Nonlinear Waves Vol. I, VI, P210
[8]   Inverse Scattering and Soliton Solutions of Nonlocal Complex Reverse-Spacetime Modified Korteweg-de Vries Hierarchies [J].
Ling, Liming ;
Ma, Wen-Xiu .
SYMMETRY-BASEL, 2021, 13 (03)
[9]  
Ma W.X., 2012, GLOBAL J MATH SCI, V1, P1
[10]  
Ma W.X., 2021, Partial. Differ. Equ. Appl. Math., V4