Soliton solutions of the shifted nonlocal NLS and MKdV equations

被引：32
作者：
Gurses, Metin [1 ]
Pekcan, Asli [1 ]
机构：
[1] Hacettepe Univ, Fac Sci, Dept Math, TR-06800 Ankara, Turkey
来源：
PHYSICS LETTERS A | 2022年 / 422卷
关键词：
Shifted nonlocal reductions; Nonlocal NLS and MKdV equations; Soliton solutions; NONLINEAR SCHRODINGER-EQUATION; INVERSE SCATTERING TRANSFORM; DE-VRIES EQUATION;
D O I：
10.1016/j.physleta.2021.127793
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We find one-and two-soliton solutions of shifted nonlocal NLS and MKdV equations. We discuss the singular structures of these soliton solutions and present some of the graphs of them. (C) 2021 Elsevier B.V. All rights reserved.
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页数：10
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共 44 条
  • [1] INVERSE SCATTERING TRANSFORM FOR THE NONLOCAL REVERSE SPACE-TIME NONLINEAR SCHRODINGER EQUATION
    Ablowitz, M. J.
    Feng, Bao-Feng
    Luo, Xu-Dan
    Musslimani, Z. H.
    [J]. THEORETICAL AND MATHEMATICAL PHYSICS, 2018, 196 (03) : 1241 - 1267
  • [2] Integrable space-time shifted nonlocal nonlinear equations
    Ablowitz, Mark J.
    Musslimani, Ziad H.
    [J]. PHYSICS LETTERS A, 2021, 409
  • [3] Reverse Space-Time Nonlocal Sine-Gordon/Sinh-Gordon Equations with Nonzero Boundary Conditions
    Ablowitz, Mark J.
    Feng, Bao-Feng
    Luo, Xu-Dan
    Musslimani, Ziad H.
    [J]. STUDIES IN APPLIED MATHEMATICS, 2018, 141 (03) : 267 - 307
  • [4] Integrable Nonlocal Nonlinear Equations
    Ablowitz, Mark J.
    Musslimani, Ziad H.
    [J]. STUDIES IN APPLIED MATHEMATICS, 2017, 139 (01) : 7 - 59
  • [5] Inverse scattering transform for the integrable nonlocal nonlinear Schrodinger equation
    Ablowitz, Mark J.
    Musslimani, Ziad H.
    [J]. NONLINEARITY, 2016, 29 (03) : 915 - 946
  • [6] Integrable Nonlocal Nonlinear Schrodinger Equation
    Ablowitz, Mark J.
    Musslimani, Ziad H.
    [J]. PHYSICAL REVIEW LETTERS, 2013, 110 (06)
  • [7] [Anonymous], 2018, SYMMETRIES DIFFERENT
  • [8] Solutions of Nonlocal Equations Reduced from the AKNS Hierarchy
    Chen, Kui
    Deng, Xiao
    Lou, Senyue
    Zhang, Da-jun
    [J]. STUDIES IN APPLIED MATHEMATICS, 2018, 141 (01) : 113 - 141
  • [9] General soliton solution to a nonlocal nonlinear Schrodinger equation with zero and nonzero boundary conditions
    Feng, Bao-Feng
    Luo, Xu-Dan
    Ablowitz, Mark J.
    Musslimani, Ziad H.
    [J]. NONLINEARITY, 2018, 31 (12) : 5385 - 5409
  • [10] Integrable multidimensional versions of the nonlocal nonlinear Schrodinger equation
    Fokas, A. S.
    [J]. NONLINEARITY, 2016, 29 (02) : 319 - 324
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