Application of the (G '/G)-expansion to travelling wave solutions of the Broer-Kaup and the approximate long water wave equations

Wang ML; Zhang JL; Li XZ

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Application of the (G '/G)-expansion to travelling wave solutions of the Broer-Kaup and the approximate long water wave equations

机译：（G'/ G）-展开在Broer-Kaup行波解和近似长水波方程中的应用

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By using the (G'/G)-expansion proposed recently the travelling wave solutions involving parameters of the Broer-Kaup equations and the approximate long water wave equations are found out. The travelling wave solutions are expressed by three types of functions which are the hyperbolic functions, the trigonometric functions and the rational functions. When the parameters are taken as special values the solitary wave solutions are obtained. (c) 2008 Elsevier Inc. All rights reserved.

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《Applied mathematics and computation》 |2008年第1期|共6页
作者
Wang ML; Zhang JL; Li XZ;
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正文语种 eng
中图分类应用数学;
关键词
(G'/G)-expansion; Homogeneous balance; Travelling wave solutions; Solitary wave solutions; Broer-Kaup equations; Approximate long water wave equations; NONLINEAR SCHRODINGER-EQUATION; PARTIAL-DIFFERENTIAL-EQUATIONS; ELLIPTIC FUNCTION EXPANSION; TANH-FUNCTION METHOD; SUB-ODE METHOD; MATHEMATICAL PHYSICS; NONCOMPACT SOLUTIONS; EVOLUTION-EQUATIONS; ORDER; COMPACT;

机译：（G'/ G）-展开;齐次平衡;行波解;孤波解;Broer-Kaup方程;近似长水波方程;非线性Schrodinger方程;分数阶方程;椭圆函数展开;tanh函数法代数法数学物理非紧实解演化方程阶次紧;

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1. Application of the (G '/G)-expansion to travelling wave solutions of the Broer-Kaup and the approximate long water wave equations [J] . Wang ML, Zhang JL, Li XZ Applied mathematics and computation . 2008,第1期

机译：（G'/ G）-展开在Broer-Kaup行波解和近似长水波方程中的应用
2. The improved fenced(frac(G~′, G))-expansion method and its applications to the Broer-Kaup equations and approximate long water wave equations [J] . Guo S., Zhou Y., Zhao C. Applied mathematics and computation . 2010,第7期

机译：改进的栅栏（frac（G〜'，G））-展开方法及其在Broer-Kaup方程和近似长水波方程中的应用
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机译：改进的栅栏（frac（G〜'，G））-展开方法及其在Broer-Kaup方程和近似长水波方程中的应用
4. Applications of (G'/G)-expansion to Traveling Wave Solutions for Variant Boussinesq Equations [C] . Li Wei, Ruan Chunlei 2012 Fifth International Joint Conference on Computational Sciences and Optimization . 2012

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Application of the (G '/G)-expansion to travelling wave solutions of the Broer-Kaup and the approximate long water wave equations

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