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
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2002年 / 44卷 / 3-4期
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
  • [1] New solitonic solutions to a (3+1)-dimensional Jimbo-Miwa equation
    Hong, WY
    Oh, KS
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2000, 39 (5-6) : 29 - 31
  • [2] New solutions of the 3+1 dimensional Jimbo-Miwa equation
    Liu, XQ
    Song, J
    APPLIED MATHEMATICS AND COMPUTATION, 2004, 158 (01) : 177 - 184
  • [3] 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
  • [4] Hybrid Solutions of (3+1)- Dimensional Jimbo-Miwa Equation
    Zhang, Yong
    Sun, Shili
    Dong, Huanhe
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2017, 2017
  • [5] Solitary Wave solutions to the (3+1)-dimensional Jimbo-Miwa equation
    Eslami, Mostafa
    COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2014, 2 (02): : 115 - 122
  • [6] Generalized Wronskian solutions for the (3+1)-dimensional Jimbo-Miwa equation
    Zhang, Yi
    Jin, Li-gang
    Kang, Ying-li
    APPLIED MATHEMATICS AND COMPUTATION, 2012, 219 (05) : 2601 - 2610
  • [7] Wronskian determinant solutions of the (3+1)-dimensional Jimbo-Miwa equation
    Tang, Yaning
    Ma, Wen-Xiu
    Xu, Wei
    Gao, Liang
    APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (21) : 8722 - 8730
  • [8] Wronskian and Grammian solutions for the (3+1)-dimensional Jimbo-Miwa equation
    Su Peng-Peng
    Tang Ya-Ning
    Chen Yan-Na
    CHINESE PHYSICS B, 2012, 21 (12)
  • [9] New interaction solutions for the (3+1)-dimensional Jimbo-Miwa equation
    He, Chunhua
    Tang, Yaning
    Ma, Jinli
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2018, 76 (09) : 2141 - 2147
  • [10] Novel interaction phenomena of the (3+1)-dimensional Jimbo-Miwa equation*
    Wang, Xiaomin
    Bilige, Sudao
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2020, 72 (04)
12345