Comment on: "Application of the (G/G′) method for the complex KdV equation" [Huiqun Zhang, Commun Nonlinear Sci Numer Simul 15;2010:1700-1704]

被引：9
作者：
Kudryashov, Nikolay A. [1 ]
Ryabov, Pavel N. [1 ]
机构：
[1] Natl Res Nucl Univ, MEPhI, Dept Appl Math, Moscow 115409, Russia
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2011年 / 16卷 / 01期
关键词：
Nonlinear evolution equations; Exact solutions; Complex KdV equation; Simplest equation method tanh-method G '/G; method; Seven common errors; TRAVELING-WAVE SOLUTIONS; EXP-FUNCTION METHOD; DIFFERENTIAL-EQUATIONS; FISHER EQUATION;
D O I：
10.1016/j.cnsns.2010.03.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this letter we analyze the paper by Zhang [1]. Using the improved G'/G - expansion method Zhang found "new types of exact travelling wave solutions of the complex KdV equation". We checked Zhang's "solutions" and proved that apart from trivial cases none of them satisfy the KdV equation. Moreover, the general solution of the KdV equation in the form of the travelling wave was obtained more than one century ago. We give this solution in this letter for the reference source. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码：596 / 598
页数：3
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