Conditional similarity solutions of (2+1)-dimensional general nonintegrable KdV equation

被引:0
|
作者
Tang, XY [1 ]
Lou, SY
机构
[1] Shanghai Jiao Tong Univ, Dept Phys, Shanghai 200030, Peoples R China
[2] Ningbo Univ, Dept Phys, Ningbo 315211, Peoples R China
关键词
similarity solutions; modified direct method; (2+1)-dimensional general KdV equation;
D O I
暂无
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The real physics models are usually quite complex with some arbitrary parameters which will lead to the nonintegrability of the model. To find some exact solutions of a nonintegrable model with some arbitrary parameters is much more difficult than to find the solutions of a model with some special parameters. In this paper, we make a modification for the usual direct method to End some conditional similarity solutions of a (2+1)-dimensional general nonintegrable KdV equation.
引用
收藏
页码:139 / 144
页数:6
相关论文
共 50 条
  • [1] Soliton-like solutions for a (2+1)-dimensional nonintegrable KdV equation and a variable-coefficient KdV equation
    Chen, Y
    Li, B
    NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-BASIC TOPICS IN PHYSICS, 2003, 118 (08): : 767 - 776
  • [2] Similarity and conditional similarity reductions of a (2+1)-dimensional KdV equation via a direct method
    Lou, S
    Tang, X
    Lin, J
    JOURNAL OF MATHEMATICAL PHYSICS, 2000, 41 (12) : 8286 - 8303
  • [3] Multisoliton solutions of the (2+1)-dimensional KdV equation
    Zhang, JF
    Huang, WH
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2001, 36 (05) : 523 - 524
  • [4] Conditional similarity reductions of the (2+1)-dimensional KdV equation via the extended Lie group approach
    Tang, XY
    Qian, XM
    Lin, J
    Lou, SY
    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2004, 73 (06) : 1464 - 1475
  • [5] Generalized dromion solutions of the (2+1)-dimensional KdV equation
    Lou, SY
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1995, 28 (24): : 7227 - 7232
  • [6] Integrability and lump solutions to an extended (2+1)-dimensional KdV equation
    Cheng, Li
    Ma, Wen Xiu
    Zhang, Yi
    Ge, Jian Ya
    EUROPEAN PHYSICAL JOURNAL PLUS, 2022, 137 (08):
  • [7] Bifurcation and travelling wave solutions for a (2+1)-dimensional KdV equation
    Elmandouha, A. A.
    Ibrahim, A. G.
    JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE, 2020, 14 (01): : 139 - 147
  • [8] A Family of Novel Exact Solutions to (2+1)-Dimensional KdV Equation
    Wang, Zhen
    Zou, Li
    Zong, Zhi
    Qin, Hongde
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [9] Integrability and lump solutions to an extended (2+1)-dimensional KdV equation
    Li Cheng
    Wen Xiu Ma
    Yi Zhang
    Jian Ya Ge
    The European Physical Journal Plus, 137
  • [10] On the dromion solutions of a (2+1)-dimensional KdV-type equation
    Lou, SY
    COMMUNICATIONS IN THEORETICAL PHYSICS, 1996, 26 (04) : 487 - 490