The Dbar-dressing method for the (2+1)-dimensional Date-Jimbo-Kashiwara-Miwa equation

被引:3
|
作者
Sun, Shifei [1 ]
Li, Biao [1 ]
机构
[1] Ningbo Univ, Sch Math & Stat, Ningbo 315211, Peoples R China
关键词
(2+1)-dimensional DJKM equation; inverse spectral problem; Green's function; characteristic function; partial derivative-dressing method; RIEMANN-HILBERT PROBLEM; KUNDU-ECKHAUS EQUATION; LONG-TIME ASYMPTOTICS; SYSTEM;
D O I
10.1088/1572-9494/ad1324
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this work, the (2+1)-dimensional Date-Jimbo-Kashiwara-Miwa (DJKM) equation is studied by means of the partial derivative-dressing method. A new partial derivative problem has been constructed by analyzing the characteristic function and the Green's function of its Lax representation. Based on solving the partial derivative equation and choosing the proper spectral transformation, the solution of the DJKM equation is constructed. Furthermore, the more general solution of the DJKM equation can be also obtained by ensuring the evolution of the time spectral data.
引用
收藏
页数:7
相关论文
共 50 条
  • [31] Interaction solutions between lump and stripe soliton to the (2+1)-dimensional Date–Jimbo–Kashiwara–Miwa equation
    Fan Guo
    Ji Lin
    Nonlinear Dynamics, 2019, 96 : 1233 - 1241
  • [32] Analytical solutions and molecule states of the (3+1)-dimensional variable coecient Date-Jimbo-Kashiwara-Miwa equation
    Ma, Hongcai
    Su, Nan
    Deng, Aiping
    PHYSICA SCRIPTA, 2025, 100 (01)
  • [33] A (2+1)-dimensional variable-coefficients extension of the Date-Jimbo-Kashiwara-Miwa equation: Lie symmetry analysis, optimal system and exact solutions
    Hu, Yuru
    Zhang, Feng
    Xin, Xiangpeng
    Liu, Hanze
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2023, 24 (05) : 2011 - 2021
  • [34] Lie symmetries, exact solutions and conservation laws of the Date-Jimbo-Kashiwara-Miwa equation
    Tanwar, Dig Vijay
    Kumar, Mukesh
    NONLINEAR DYNAMICS, 2021, 106 (04) : 3453 - 3468
  • [35] Bilinear form, solitons, breathers, lumps and hybrid solutions for a (3+1)-dimensional Date-Jimbo-Kashiwara-Miwa equation
    Wang, Dong
    Gao, Yi-Tian
    Yu, Xin
    Li, Liu-Qing
    Jia, Ting-Ting
    NONLINEAR DYNAMICS, 2021, 104 (02) : 1519 - 1531
  • [36] Localized waves and interaction solutions to an integrable variable coefficient Date-Jimbo-Kashiwara-Miwa equation
    Liu, Jinzhou
    Yan, Xinying
    Jin, Meng
    Xin, Xiangpeng
    JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS, 2024, 38 (05) : 582 - 594
  • [37] Dbar-dressing method for a new (2+1)-dimensional generalized Kadomtsev-Petviashvili equation
    Niu, Zhenjie
    Li, Biao
    APPLIED MATHEMATICS LETTERS, 2025, 163
  • [38] Bilinear form, solitons, breathers, lumps and hybrid solutions for a (3+1)-dimensional Date-Jimbo-Kashiwara-Miwa equation
    Dong Wang
    Yi-Tian Gao
    Xin Yu
    Liu-Qing Li
    Ting-Ting Jia
    Nonlinear Dynamics, 2021, 104 : 1519 - 1531
  • [39] THE partial derivative-DRESSING METHOD FOR THE (2+1)-DIMENSIONAL JIMBO-MIWA EQUATION
    Chai, Xuedong
    Zhang, Yufeng
    Chen, Yong
    Zhao, Shiyin
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2022, 150 (07) : 2879 - 2887
  • [40] Extractions of some new travelling wave solutions to the conformable Date-Jimbo-Kashiwara-Miwa equation
    Kumar, Ajay
    Ilhan, Esin
    Ciancio, Armando
    Yel, Gulnur
    Baskonus, Haci Mehmet
    AIMS MATHEMATICS, 2021, 6 (05): : 4238 - 4264