推广的简单方程方法对 Whitham-Broer-Kaup-Like 方程组的应用

J4 ›› 2014, Vol. 31 ›› Issue (2): 141-148.

推广的简单方程方法对 Whitham-Broer-Kaup-Like 方程组的应用

苏道毕力格¹,王晓民²

内蒙古工业大学理学院, 内蒙古呼和浩特 010051

收稿日期:2013-10-12 修回日期:2014-01-15 出版日期:2014-03-28 发布日期:2014-03-20
通讯作者: 苏道毕力格(1975-), 内蒙古赤峰市人, 博士, 副教授, 研究方向为偏微分方程求解问题. E-mail:inmathematica@126.com
基金资助:
Natural Science Foundation of China (11261034)，High Education Science Research Program of Inner Mongolia (NJZY12056)

Application of extended simplest equation method to the Whitham-Broer-Kaup-Like equations

College of Sciences, Inner Mongolia University of Technology, Hohhote 010051, China

Received:2013-10-12 Revised:2014-01-15 Published:2014-03-28 Online:2014-03-20

摘要/Abstract

摘要： 应用推广的简单方程方法成功构造了Whitham-Broer-Kaup-Like方程组的新的精确行波解. 这些行波解分别以含有双参数的双曲函数, 三角函数和有理函数表示. 当双曲函数表示的行波解中参数取特殊值时可得孤波解. 得到的结果说明了推广的简单方程方法函数方法是直接、可靠和行之有效的方法, 并且该方法也可用于求解数学物理中的其它非线性发展方程的更多精确行波解.

关键词: 非线性发展方程, 推广的简单方程方法, 精确行波解, Whitham-Broer-Kaup-Like方程组

Abstract: By applying the extended simplest equation method, the new exact traveling wave solutions of the Whitham-Broer-Kaup-Like equations was successfully constructed. The exact traveling wave solutions with double arbitrary parameters, are expressed by the hyperbolic functions, the trigonometric functions and the rational functions respectively. When the parameters are taken as special values, some solitary wave solutions are derived from the hyperbolic function solutions. The obtained results illustrate that the extended simplest equation method is direct, reliable and effective and can be used to obtain more exact traveling wave solutions of other nonlinear evolution equations in mathematical physics.

Key words: nonlinear developing equation, extended simplest equation method, traveling wave solutions, Whitham-Broer-Kaup-Like equations

中图分类号:

O175. 29

苏道毕力格王晓民. 推广的简单方程方法对 Whitham-Broer-Kaup-Like 方程组的应用[J]. J4, 2014, 31(2): 141-148.

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