Multi-solitons and integrability for a (2+1)-dimensional variable coefficients Date-Jimbo-Kashiwara-Miwa equation

被引：25
|
作者：
Zhao, Xue-Hui [1 ,2 ]
机构：
[1] Inner Mongolia Normal Univ, Coll Math Sci, Hohhot 010022, Peoples R China
[2] Inner Mongolia Normal Univ, Ctr Appl Math Sci, Hohhot, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2024年 / 149卷
基金：
中国国家自然科学基金;
关键词：
(2+1)-dimensional variable-coefficient; Date-Jimbo-Kashiwara-Miwa equation; Bell polynomials; Soliton solutions; Backlund transformation; Infinitely-many conservation laws;
D O I：
10.1016/j.aml.2023.108895
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Under investigation in this paper is a (2+1)-dimensional generalized variable coefficients Date-Jimbo-Kashiwara-Miwa equation, which describes the nonlinear dispersive wave in inhomogeneous media. Via the generalized Laurent series truncated at the constant-level term, an auto-Backlund transformation is derived. Bilinear forms, Backlund transformation, Lax pair and infinitely-many conservation laws are derived based on the binary Bell polynomials. Multi-soliton solutions are constructed via the Hirota method.
引用
收藏
页数：5
相关论文
共 50 条
  • [41] Some Latest Families of Exact Solutions to Date-Jimbo-Kashiwara-Miwa Equation and Its Stability Analysis
    Akbulut, Arzu
    Alqahtani, Rubayyi T.
    Alharthi, Nadiyah Hussain
    MATHEMATICS, 2023, 11 (19)
  • [42] Nonlinear dynamical wave structures to the Date-Jimbo-Kashiwara-Miwa equation and its modulation instability analysis
    Younis, M.
    Seadawy, A. R.
    Bilal, M.
    Rizvi, S. T. R.
    Althobaiti, Saad
    Alkafafy, Mohamed
    MODERN PHYSICS LETTERS B, 2021, 35 (18):
  • [43] Lie symmetry transformation, conservation laws and nonlinear self-adjointness of (2+1)-dimensional Date–Jimbo–Kashiwara–Miwa equation
    Mukesh Kumar
    Kumari Manju
    The European Physical Journal Plus, 137
  • [44] Analytic Solutions of the Time-Fractional Date-Jimbo-Kashiwara-Miwa Equation via New Function Transformations
    Yasmeen, Bushra
    Ahmad, Khalil
    Fatima, Nahid
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2025, 18 (01):
  • [45] Study on Date-Jimbo-Kashiwara-Miwa Equation with Conformable Derivative Dependent on Time Parameter to Find the Exact Dynamic Wave Solutions
    Iqbal, Md Ashik
    Wang, Ye
    Miah, Md Mamun
    Osman, Mohamed S.
    FRACTAL AND FRACTIONAL, 2022, 6 (01)
  • [46] On integrability of the extended (3+1)-dimensional Jimbo-Miwa equation
    Liu, Jian-gen
    Yang, Xiao-jun
    Feng, Yi-ying
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (04) : 1646 - 1659
  • [47] Integrability and Solutions of the (2+1)-Dimensional Broer-Kaup Equation with Variable Coefficients
    Wang Lu-Hua
    He Jing-Song
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2012, 58 (03) : 387 - 392
  • [48] Integrability and Solutions of the (2+1)-Dimensional Broer-Kaup Equation with Variable Coefficients
    王路华
    贺劲松
    CommunicationsinTheoreticalPhysics, 2012, 58 (09) : 387 - 392
  • [49] 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
  • [50] Solitons and integrability for a (2+1)-dimensional generalized variable-coefficient shallow water wave equation
    Wang, Ya-Le
    Gao, Yi-Tian
    Jia, Shu-Liang
    Lan, Zhong-Zhou
    Deng, Gao-Fu
    Su, Jing-Jing
    MODERN PHYSICS LETTERS B, 2017, 31 (03):
12345