A new generalization of variable coefficients algebraic method for solving nonlinear evolution equations

被引:3
|
作者
Bai, Cheng-Lin [1 ]
机构
[1] Liaocheng Univ, Sch Phys Sci & Informat Engn, Shandong 252059, Peoples R China
基金
中国国家自然科学基金;
关键词
D O I
10.1016/j.chaos.2006.04.014
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, based on a new intermediate transformation, a more general variable coefficient algebraic method is proposed. The efficiency of the method is demonstrated on the Broer-Kaup-Kupershmidt equations. As a result, several new families of exact solutions of physical interest are obtained. The method can be applied to other nonlinear evolution equations in mathematical physics. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1114 / 1129
页数:16
相关论文
共 50 条
  • [1] A new generalized algebraic method and its application in nonlinear evolution equations with variable coefficients
    Bai, CL
    Bai, CJ
    Zhao, H
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2005, 60 (04): : 211 - 220
  • [2] The Enhanced Modified Simple Equation Method for Solving Nonlinear Evolution Equations with Variable Coefficients
    Zayed, E. M. E.
    Arnous, A. H.
    11TH INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2013, PTS 1 AND 2 (ICNAAM 2013), 2013, 1558 : 1999 - 2004
  • [3] A new method for solving the difference equations with variable coefficients
    Sajfert, V. D.
    Tosic, B. S.
    Setrajcic, J. P.
    SIX INTERNATIONAL CONFERENCE OF THE BALKAN PHYSICAL UNION, 2007, 899 : 709 - 709
  • [4] A new generalization of extended tanh-function method for solving nonlinear evolution equations
    Zheng, XD
    Chen, Y
    Li, B
    Zhang, HQ
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2003, 39 (06) : 647 - 652
  • [5] Some New Solutions of Nonlinear Evolution Equations with Variable Coefficients
    Virdi, Jasvinder Singh
    INTERNATIONAL CONFERENCE ON CONDENSED MATTER AND APPLIED PHYSICS (ICC 2015), 2016, 1728
  • [6] Solving nonlinear ordinary differential equations with variable coefficients by elastic transformation method
    Pengshe Zheng
    Jie Tang
    Lihui Leng
    Shunchu Li
    Journal of Applied Mathematics and Computing, 2023, 69 : 1297 - 1320
  • [7] Solving nonlinear ordinary differential equations with variable coefficients by elastic transformation method
    Zheng, Pengshe
    Tang, Jie
    Leng, Lihui
    Li, Shunchu
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2023, 69 (01) : 1297 - 1320
  • [8] New Periodic Wave Solutions for Nonlinear Evolution Equations with Variable Coefficients via Mapping Method
    Abdou, M. A.
    Abd ElGawad, S. S.
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2010, 26 (06) : 1608 - 1623
  • [9] A GENERALIZATION OF HUANG METHOD FOR SOLVING SYSTEMS OF LINEAR ALGEBRAIC EQUATIONS
    ABAFFY, J
    SPEDICATO, E
    BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1984, 3B (02): : 517 - 529