| 利用推广的(G′/G)-展开法求解Kononpelchenko-Dubrovsky方程 |
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| 引用本文： | 李灵晓,李保安.利用推广的(G′/G)-展开法求解Kononpelchenko-Dubrovsky方程[J].河南科技大学学报(自然科学版),2009,30(1). |
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| 作者姓名： | 李灵晓 李保安 |
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| 作者单位： | 河南科技大学,理学院,河南,洛阳,471003 |
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| 基金项目： | 河南省教育厅自然科学基金，河南科技大学青年科研基金 |
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| 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).
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| 关 键 词： | KononpelchenkoDubrovsky方程 推广的(G'/G)展开法 显式行波解 齐次平衡 |
Solving Kononpelchenko-Dubrovsky Equation by Using Extended(G'/G)-expansion Method |
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| LI Ling-Xiao,LI Bao-An.Solving Kononpelchenko-Dubrovsky Equation by Using Extended(G'/G)-expansion Method[J].Journal of Henan University of Science & Technology:Natural Science,2009,30(1). |
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| Authors: | LI Ling-Xiao LI Bao-An |
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| Institution: | Science College;Henan University of Science & Technology;Luoyang 471003;China |
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| 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). |
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