An automated algebraic method for finding exact solutions to nonlinear evolution equations

被引：0
|
作者：
Li, ZB [1 ]
Liu, YP [1 ]
Yao, RX [1 ]
机构：
[1] E China Normal Univ, Dept Comp Sci, Shanghai 200062, Peoples R China
来源：
MATHEMATICAL SOFTWARE, PROCEEDINGS | 2002年
关键词：
D O I：
10.1142/9789812777171_0048
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
Based on three types of Riccati equations, an algebraic and straightforward method for finding exact travelling wave solutions to nonlinear evolution equations is proposed, and a Maple package REAM which can entirely automatically output the exact solitary wave solutions as well as periodic wave solutions is presented. Using REAM the solutions for more than one hundred nonlinear evolution equations have been obtained. Not only are previously known solutions recovered but, in some cases, new solutions or more general form of solutions are obtained.
引用
收藏
页码：464 / 474
页数：11
相关论文
共 50 条
  • [11] Applications of the Functional Variable Method for Finding the Exact Solutions of Nonlinear Evolution Equations in Mathematical Physics
    Zayed, E. M. E.
    Hoda, S. A.
    Arnous, Ibrahim A. H.
    11TH INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2013, PTS 1 AND 2 (ICNAAM 2013), 2013, 1558 : 1951 - 1956
  • [12] An automated Jacobi elliptic function method for finding periodic wave solutions to nonlinear evolution equations
    Liu, YP
    Li, ZB
    CHINESE PHYSICS LETTERS, 2002, 19 (09) : 1228 - 1230
  • [13] EXACT SOLITARY WAVE SOLUTIONS OF NONLINEAR EVOLUTION AND WAVE-EQUATIONS USING A DIRECT ALGEBRAIC-METHOD
    HEREMAN, W
    BANERJEE, PP
    KORPEL, A
    ASSANTO, G
    VANIMMERZEELE, A
    MEERPOEL, A
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1986, 19 (05): : 607 - 628
  • [14] A Maple package for finding exact solitary wave solutions of coupled nonlinear evolution equations
    Liu, YP
    Li, ZB
    COMPUTER PHYSICS COMMUNICATIONS, 2003, 155 (01) : 65 - 76
  • [15] The geometric series method for constructing exact solutions to nonlinear evolution equations
    A. V. Bochkarev
    A. I. Zemlyanukhin
    Computational Mathematics and Mathematical Physics, 2017, 57 : 1111 - 1123
  • [16] A Novel Generalized Kudryashov Method for Exact Solutions of Nonlinear Evolution Equations
    Koparan, Murat
    Kaplan, Melike
    Bekir, Ahmet
    Guner, Ozkan
    ICNPAA 2016 WORLD CONGRESS: 11TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES, 2017, 1798
  • [17] Investigation of Exact Solutions of Nonlinear Evolution Equations Using Unified Method
    Wang, Xiaoming
    Javed, Shehbaz Ahmad
    Majeed, Abdul
    Kamran, Mohsin
    Abbas, Muhammad
    MATHEMATICS, 2022, 10 (16)
  • [18] The Geometric Series Method for Constructing Exact Solutions to Nonlinear Evolution Equations
    Bochkarev, A.
    Zemlyanukhin, A. I.
    COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2017, 57 (07) : 1111 - 1123
  • [19] Exact Solutions of Some Nonlinear Evolution Equations
    Rosales, Rodoljo R.
    1600, (59):
  • [20] Exact solutions of coupled nonlinear evolution equations
    Yusufoglu, Elcin
    Bekir, Ahmet
    CHAOS SOLITONS & FRACTALS, 2008, 37 (03) : 842 - 848
12345