Exact solutions to a nonlinear dispersive model with variable coefficients

被引：4
|
作者：
Yin, Jun [1 ]
Lai, Shaoyong [1 ]
Qing, Yin [1 ]
机构：
[1] SW Univ Finance & Econ, Dept Appl Math, Chengdu 610074, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2009年 / 40卷 / 03期
关键词：
SOLITARY-WAVE SOLUTIONS; COMPACT SUPPORT; SOLITONS; EQUATIONS;
D O I：
10.1016/j.chaos.2007.08.077
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A mathematical technique based oil all auxiliary differential equation and the symbolic Computation system Maple is employed to investigate a prototypical and nonlinear K(n,n) equation with variable coefficients. The exact solutions to the equation are constructed analytically under various circumstances. It is shown that the variable coefficients and the exponent appearing in the equation determine the quantitative change in the physical structures of the solutions. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1249 / 1254
页数：6
相关论文
共 50 条
  • [41] Two exact solutions for nonlinear Schrodinger equation with variable coefficients Based on F-expansion method
    Wang Jun
    Wei Jianping
    Jiang Xingfang
    Huang Shuang
    INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2014, 52 (06): : 234 - 242
  • [42] Exact solutions for a variable-coefficients nonisospectral nonlinear Schr?dinger equation via Wronskian technique
    Silem, Abdselam
    Lin, Ji
    APPLIED MATHEMATICS LETTERS, 2023, 135
  • [43] Exact solutions of the (2+1)-dimensional quintic nonlinear Schrödinger equation with variable coefficients
    Si-Liu Xu
    Nikola Petrović
    Milivoj R. Belić
    Nonlinear Dynamics, 2015, 80 : 583 - 589
  • [44] New exact solutions to KdV equations with variable coefficients or forcing
    Fu, ZT
    Liu, SD
    Liu, SK
    Zhao, Q
    APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2004, 25 (01) : 73 - 79
  • [45] New exact solutions to KdV equations with variable coefficients or forcing
    Fu Zun-tao
    Liu Shi-da
    Liu Shi-kuo
    Zhao Qiang
    Applied Mathematics and Mechanics, 2004, 25 (1) : 73 - 79
  • [46] Exact Solutions of Fisher and Generalized Fisher Equations with Variable Coefficients
    Arzu ■ün
    Cevat Kart
    ActaMathematicaeApplicataeSinica, 2007, (04) : 563 - 568
  • [47] Computer Applications to Exact solutions of AKNS Hierarchy with Variable Coefficients
    Zhang, Sheng
    Cai, Bin
    PROCEEDINGS OF THE 4TH INTERNATIONAL CONFERENCE ON MECHATRONICS, MATERIALS, CHEMISTRY AND COMPUTER ENGINEERING 2015 (ICMMCCE 2015), 2015, 39 : 645 - 649
  • [48] Exact solutions of fisher and generalized fisher equations with variable coefficients
    Ogun, Arzu
    Kart, Cevat
    ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2007, 23 (04): : 563 - 568
  • [49] NEW EXACT SOLUTIONS TO KdV EQUATIONS WITH VARIABLE COEFFICIENTS OR FORCING
    付遵涛
    刘式达
    刘式适
    赵强
    AppliedMathematicsandMechanics(EnglishEdition), 2004, (01) : 73 - 79
  • [50] Exact solutions of forced Burgers equations with time variable coefficients
    Buyukasik, Sirin A.
    Pashaev, Oktay K.
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2013, 18 (07) : 1635 - 1651
12345