| Exact Solutions of （2＋1）-Dimensional Boiti-Leon-Pempinelle Equation with （G′/G）-Expansion Method |
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| 引用本文： | 熊守全,夏铁成.Exact Solutions of （2＋1）-Dimensional Boiti-Leon-Pempinelle Equation with （G′/G）-Expansion Method[J].理论物理通讯,2010(7):35-37. |
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| 作者姓名： | 熊守全 夏铁成 |
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| 作者单位： | [1]Department of Mathematics, Shanghai University, Shanghai 200444 [2].Key Laboratory of Mathematic Mechanization, Chinese Academy of China Sciences, Beijing 100080, China |
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| 基金项目： | Supported by the Natural Science Foundation of Shanghai under Grant No. 09ZR1410800, the Science Foundation of Key Laboratory of Mathematics Mechanization under Grant No. KLMM0806, the Shanghai Leading Academic Discipline Project under Grant No. J50101 and Key Disciplines of Shanghai Municipality under Grant No. S30104
Acknowledgments We would like to express our sincere thanks to referee for the valuable advice. |
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| 摘 要： | In this paper, we construct exact solutions for the （2＋1）-dimensional Boiti-Leon-Pempinelle equation by using the （G′/G）-expansion method, and with the help of Maple. As a result, non-travelling wave solutions with three arbitrary functions are obtained including hyperbolic function solutions, trigonometric function solutions, and rational solutions. This method can be applied to other higher-dimensional nonlinear partial differential equations.
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| 关 键 词： | 精确解 法方程 展开法 非线性偏微分方程 三角函数解 非行波解 高维 |
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