| 两种广义的(G'/G)-展开法及其应用 |
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| 引用本文： | 苏道毕力格,特木尔朝鲁. 两种广义的(G'/G)-展开法及其应用[J]. 内蒙古大学学报(自然科学版), 2010, 41(2) |
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| 作者姓名： | 苏道毕力格 特木尔朝鲁 |
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| 作者单位： | 1. 内蒙古工业大学理学院,呼和浩特,010051
2. 上海海事大学数学系,上海,200135 |
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| 基金项目： | Supported by the Special Foundation of Doctoral Unit of the Ministry of Education of China(No.20070128001);;Scientific Research innovation Project of Shanghai Education Committee(No.09YZ239)~~ |
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| 摘 要： | 提出了两种广义的(G′/G)-展开法,利用该方法可以得到非线性发展方程的更多不同种类的精确解.作为应用,利用广义的方法得到了(2+1)维色散的长波方程和Broer-Kaup方程的新的非行波解.
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| 关 键 词： | 广义的（G′/G）-展开法 精确解 （2+1）维色散的长波方程 Broer-Kaup方程 |
Two Generalizations of the (G'/G)-Expansion Method and Their Applications |
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| Sudao Bilige,Temuer Chaolu. Two Generalizations of the (G'/G)-Expansion Method and Their Applications[J]. Acta Scientiarum Naturalium Universitatis Neimongol, 2010, 41(2) |
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| Authors: | Sudao Bilige Temuer Chaolu |
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| Affiliation: | 1.College of Sciences/a>;Inner Mongolia University of Technology/a>;Hohhot 010051/a>;China/a>;2.Department of Mathematics/a>;Shanghai Maritime University/a>;Shanghai 200135/a>;China |
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| Abstract: | Two generalizations of the(G'/G)-expansion method are proposed which result in more different types of exact solutions to nonlinear evolution equations.As applications,the new exact non-travelling wave solutions of the(2+1)-dimension dispersive long wave equations and the Broer-Kaup equations are obtained by using two generalized methods. |
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| Keywords: | generalized (G'/G)-expansion method exact solution the(2+1)-dimension dispersive long wave equations the Broer-Kaup equation |
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