Bilinear auto-Backlund transformations and soliton solutions of a (3+1)-dimensional generalized nonlinear evolution equation for the shallow water waves

被引：168
|
作者：
Shen, Yuan
Tian, Bo [1 ]
机构：
[1] Beijing Univ Posts & Telecommun, State Key Lab Informat Photon & Opt Commun, Beijing 100876, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2021年 / 122卷
基金：
中国国家自然科学基金;
关键词：
Shallow water waves; (3+1)-dimensional generalized nonlinear evolution equation; Hirota method; Symbolic computation; Bilinear auto-Backlund transformation; Soliton solution;
D O I：
10.1016/j.aml.2021.107301
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Waves are seen in the atmosphere, oceans, etc. As one of the most common natural phenomena, water waves attract the attention of researchers. For the shallow water waves, a (3+1)-dimensional generalized nonlinear evolution equation is hereby investigated via the symbolic computation. Based on the Hirota method, we present three bilinear auto-Backlund transformations, along with some soliton solutions. Our results depend on the water-wave coefficients in that equation. (C) 2021 Elsevier Ltd. All rights reserved.
引用
收藏
页数：7
相关论文
共 50 条
  • [41] Bilinear Backlund transformation, soliton and periodic wave solutions for a -dimensional variable-coefficient generalized shallow water wave equation
    Huang, Qian-Min
    Gao, Yi-Tian
    Jia, Shu-Liang
    Wang, Ya-Le
    Deng, Gao-Fu
    NONLINEAR DYNAMICS, 2017, 87 (04) : 2529 - 2540
  • [42] Wronskian, Gramian, Pfaffian and periodic-wave solutions for a (3+1)-dimensional generalized nonlinear evolution equation arising in the shallow water waves
    Fei-Yan Liu
    Yi-Tian Gao
    Xin Yu
    Cui-Cui Ding
    Nonlinear Dynamics, 2022, 108 : 1599 - 1616
  • [43] Wronskian, Gramian, Pfaffian and periodic-wave solutions for a (3+1)-dimensional generalized nonlinear evolution equation arising in the shallow water waves
    Liu, Fei-Yan
    Gao, Yi-Tian
    Yu, Xin
    Ding, Cui-Cui
    NONLINEAR DYNAMICS, 2022, 108 (02) : 1599 - 1616
  • [44] New (3+1)-dimensional nonlinear evolution equation: multiple soliton solutions
    Wazwaz, Abdul-Majid
    OPEN ENGINEERING, 2014, 4 (04): : 352 - 356
  • [45] Soliton Solutions and Conservation Laws of a (3+1)-Dimensional Nonlinear Evolution Equation
    Ekici, M.
    Sonmezoglu, A.
    Adem, A. Rashid
    Zhou, Qin
    Luan, Zitong
    Liu, Sha
    Mirzazadeh, M.
    Liu, Wenjun
    ACTA PHYSICA POLONICA A, 2019, 135 (03) : 539 - 545
  • [46] A (3+1)-dimensional nonlinear evolution equation with multiple soliton solutions and multiple singular soliton solutions
    Wazwaz, Abdul-Majid
    APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (04) : 1548 - 1552
  • [47] Bilinear auto-Backlund transformation, breather-wave and periodic-wave solutions for a (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation
    Shen, Yuan
    Tian, Bo
    Cheng, Chong-Dong
    Zhou, Tian-Yu
    EUROPEAN PHYSICAL JOURNAL PLUS, 2021, 136 (11):
  • [48] Auto-Backlund transformation and two families of analytical solutions to the (2+1)-dimensional soliton breaking equation
    Tian, B
    Gao, YT
    PHYSICS LETTERS A, 1996, 212 (05) : 247 - 252
  • [49] New Bilinear Backlund Transformation and Higher Order Rogue Waves with Controllable Center of a Generalized (3+1)-Dimensional Nonlinear Wave Equation
    Shen, Ya-Li
    Yao, Ruo-Xia
    Li, Yan
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2019, 71 (02) : 161 - 169
  • [50] Bilinear Backlund transformation, soliton and breather solutions for a (3+1)-dimensional generalized Kadomtsev-Petviashvili equation in fluid dynamics and plasma physics
    Shen, Yuan
    Tian, Bo
    Liu, Shao-Hua
    Yang, Dan-Yu
    PHYSICA SCRIPTA, 2021, 96 (07)
12345