New exact solutions for three nonlinear evolution equations

被引：66
|
作者：
Yao, RX
Li, ZB [1 ]
机构：
[1] E China Normal Univ, Dept Comp Sci, Shanghai 200062, Peoples R China
[2] Weinan Teachers Coll, Dept Comp Sci, Weinan 714000, Shaanxi, Peoples R China
来源：
PHYSICS LETTERS A | 2002年 / 297卷 / 3-4期
关键词：
D O I：
10.1016/S0375-9601(02)00294-3
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
By using the general solutions of a coupled Riccati equations and the relations between them a direct algebra method is described to construct several kinds of closed-form travelling wave solutions for some nonlinear differential equations. By this method three important nonlinear partial differential equations are studied and, in addition to rederiving all known solutions, several new solutions are explicitly obtained with the aid of symbolic computation. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：196 / 204
页数：9
相关论文
共 50 条
  • [21] Comment on 'Exact solutions to the various nonlinear evolution equations'
    Kudryashov, Nikolay A.
    Sinelshchikov, Dmitry I.
    PHYSICA SCRIPTA, 2011, 83 (01)
  • [22] Symbolic computation of exact solutions for nonlinear evolution equations
    Zhang, Lei
    Lin, Yezhi
    NONLINEAR DYNAMICS, 2015, 79 (02) : 823 - 833
  • [23] New explicit and exact travelling wave solutions for a class of nonlinear evolution equations
    Xia, TC
    Zhang, HQ
    Yan, ZY
    APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2001, 22 (07) : 788 - 793
  • [24] NEW EXPLICIT AND EXACT TRAVELLING WAVE SOLUTIONS FOR A CLASS OF NONLINEAR EVOLUTION EQUATIONS
    夏铁成
    张鸿庆
    闫振亚
    Applied Mathematics and Mechanics(English Edition), 2001, (07) : 788 - 793
  • [25] New explicit and exact travelling wave solutions for a class of nonlinear evolution equations
    Xia Tie-cheng
    Zhang Hong-qing
    Yan Zhen-ya
    Applied Mathematics and Mechanics, 2001, 22 (7) : 788 - 793
  • [26] A procedure to construct exact solutions of nonlinear evolution equations
    Adem Cengiz Çevikel
    Ahmet Bekir
    Mutlu Akar
    Sait San
    Pramana, 2012, 79 : 337 - 344
  • [27] Exact solutions to a large class of nonlinear evolution equations
    Xu, GQ
    Li, ZB
    Liu, YP
    CHINESE JOURNAL OF PHYSICS, 2003, 41 (03) : 232 - 241
  • [28] Study of Integrability and Exact Solutions for Nonlinear Evolution Equations
    Rui, Weiguo
    Ma, Wen-Xiu
    Khalique, Chaudry Masood
    Zhu, Zuo-nong
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [29] New exact Jacobi elliptic function solutions for some nonlinear evolution equations
    Zhang, Huiqun
    CHAOS SOLITONS & FRACTALS, 2007, 32 (02) : 653 - 660
  • [30] A procedure to construct exact solutions of nonlinear evolution equations
    Cevikel, Adem Cengiz
    Bekir, Ahmet
    Akar, Mutlu
    San, Sait
    PRAMANA-JOURNAL OF PHYSICS, 2012, 79 (03): : 337 - 344
12345