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利用推广的(G′/G)-展开法求解Kononpelchenko-Dubrovsky方程
Solving Kononpelchenko-Dubrovsky Equation by Using Extended(G’/G)-expansion Method
【摘要】 利用推广的(G′/G)-展开法,借助于计算机代数系统Mathematica,获得了Kononpelchenko-Dubrovsky方程丰富的显式行波解,分别以含两个任意参数的双曲函数、三角函数及有理函数表示。该方法也适用于其它非线性波方程(组)。
【Abstract】 By using the extended(G’/G)-expansion method and with the aid of computer algebra system Mathematica,abundant exact travelling wave solutions of the Kononpelchenko-Dubrovsky equation are successfully obtained.The solutions are expressed by hyperbolic functions,trigonometric functions and rational functions contained double arbitrary parameters.The method can be also used to solve other nonlinear wave equation(s).
【关键词】 Kononpelchenko-Dubrovsky方程;
推广的(G′/G)-展开法;
显式行波解;
齐次平衡;
【Key words】 Kononpelchenko Dubrovsky equation; Extended(G’/G)-expansion method; Exact travelling wave solution; Homogeneous balance;
【Key words】 Kononpelchenko Dubrovsky equation; Extended(G’/G)-expansion method; Exact travelling wave solution; Homogeneous balance;
【基金】 河南省教育厅自然科学基金项目(2007110010);河南科技大学青年科研基金项目(2008QN026)
- 【文献出处】 河南科技大学学报(自然科学版) ,Journal of Henan University of Science & Technology(Natural Science) , 编辑部邮箱 ,2009年01期
- 【分类号】O175.29
- 【被引频次】12
- 【下载频次】166