The solitonic features of a nonintegrable (3+1)-dimensional Jimbo-Miwa equation

被引:10
|
作者
Tian, B
Gao, YT [1 ]
Hong, W
机构
[1] Beijing Univ Aeronaut & Astronaut, Inst Fluid Mech, Beijing 100083, Peoples R China
[2] Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China
[3] Beijing Univ Aeronaut & Astronaut, Natl Lab Software Dev Environm, Beijing 100083, Peoples R China
[4] Catholic Univ Taegu, Dept Phys, Hayany 712702, Kyoungpook, South Korea
关键词
nonlinear evolution equations; (3+1)-dimensional Jimbo-Miwa equation; truncated Painleve expansion; Backlund transformation; soliton solutions; computerized symbolic computation;
D O I
10.1016/S0898-1221(02)00166-9
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We investigate a nonintegrable (3+1)-dimensional Jimbo-Miwa equation by truncating the Painleve expansion and performing computerized symbolic computation. We obtain a new auto-Backlund transformation and a new family of the exact solitonic solutions. Sample solutions of this family are presented. (C) 2002 Elsevier Science Ltd, All rights reserved.
引用
收藏
页码:525 / 528
页数:4
相关论文
共 50 条
  • [42] A transformed rational function method and exact solutions to the 3+1 dimensional Jimbo-Miwa equation
    Ma, Wen-Xiu
    Lee, Jyh-Hao
    CHAOS SOLITONS & FRACTALS, 2009, 42 (03) : 1356 - 1363
  • [43] Some new soliton solutions and dynamical behaviours of (3+1)-dimensional Jimbo-Miwa equation
    Li, Meng-Jun
    Dai, Hou-Ping
    Wei, Xue-Dan
    Tan, Wei
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2022, 99 (08) : 1654 - 1668
  • [44] New exact solutions of a (3+1)-dimensional Jimbo-Miwa system
    陈元明
    马松华
    马正义
    Chinese Physics B, 2013, 22 (05) : 251 - 255
  • [45] New exact solutions of a (3+1)-dimensional Jimbo-Miwa system
    Chen Yuan-Ming
    Ma Song-Hua
    Ma Zheng-Yi
    CHINESE PHYSICS B, 2013, 22 (05)
  • [46] Lump-type and interaction solutions to an extended (3+1)-dimensional Jimbo-Miwa equation
    Qi, Feng-Hua
    Ma, Wen-Xiu
    Qu, Qi-Xing
    Wang, Pan
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2020, 34 (07):
  • [47] New exact solutions for the (3+1)-dimensional Jimbo-Miwa system
    Ma, Song-Hua
    Fang, Jian-Ping
    Zheng, Chun-Long
    CHAOS SOLITONS & FRACTALS, 2009, 40 (03) : 1352 - 1355
  • [48] Some Special Types of Solitary Wave Solutions for (3+1)-Dimensional Jimbo-Miwa Equation
    BAI Cheng-Lin ZHAO Hong Department of Communication Engineering
    CommunicationsinTheoreticalPhysics, 2004, 41 (06) : 875 - 877
  • [49] Rogue wave solutions and the bright and dark solitons of the (3+1)-dimensional Jimbo-Miwa equation
    Zhang, Run-Fa
    Li, Ming-Chu
    Yin, Hui-Min
    NONLINEAR DYNAMICS, 2021, 103 (01) : 1071 - 1079
  • [50] On the dynamics of localized excitation wave solutions to an extended (3+1)-dimensional Jimbo-Miwa equation
    Huang, Lili
    APPLIED MATHEMATICS LETTERS, 2021, 121