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.
引用
收藏
页数：10
相关论文
共 50 条
  • [41] Riemann-Hilbert problems and soliton solutions of nonlocal reverse-time NLS hierarchies
    Wenxiu Ma
    Acta Mathematica Scientia, 2022, 42 : 127 - 140
  • [42] N-soliton solutions of the KdV6 and mKdV6 equations
    Zhaqilao
    Sirendaoreji
    JOURNAL OF MATHEMATICAL PHYSICS, 2010, 51 (11)
  • [43] The soliton solutions for semidiscrete complex mKdV equation
    Babalic, Corina N.
    INTERNATIONAL CONFERENCE ON APPLIED MATHEMATICS AND NUMERICAL METHODS (ICAMNM 2020), 3RD EDITION, 2020, 34
  • [44] General soliton solutions for the complex reverse space-time nonlocal mKdV equation on a finite background
    Wang, Xin
    Wang, Lei
    Du, Zhong
    He, Jinman
    Zhao, Jie
    PHYSICS OF FLUIDS, 2024, 36 (01)
  • [45] Hamiltonian curve flows in lie groups G ⊂ U(N) and vector NLS, mKdV, sine-Gordon soliton equations
    Anco, Stephen C.
    SYMMETRIES AND OVERDETERMINED SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS, 2008, 144 : 223 - +
  • [46] New representations of multiperiodic and multisoliton solutions for a class of nonlocal soliton equations
    Matsuno, Y
    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2004, 73 (12) : 3285 - 3293
  • [47] New local and nonlocal soliton solutions of a nonlocal reverse space-time mKdV equation using improved Hirota bilinear method
    Ahmad, Shabir
    Saifullah, Sayed
    Khan, Arshad
    Inc, Mustafa
    PHYSICS LETTERS A, 2022, 450
  • [48] Higher-Order Rogue Wave and Rational Soliton Solutions of Discrete Complex mKdV Equations
    Wen, Xiao-Yong
    EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2018, 8 (01) : 100 - 125
  • [49] Localized solutions for a nonlocal discrete NLS equation
    Ben, Roberto I.
    Cisneros Ake, Luis
    Minzoni, A. A.
    Panayotaros, Panayotis
    PHYSICS LETTERS A, 2015, 379 (30-31) : 1705 - 1714
  • [50] Integrable discretizations and soliton solution of KdV and mKdV equations
    Zhang, Yi
    Jin, Li-gang
    Dong, Kang-hui
    APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (18) : 9555 - 9562
12345