| The （G＇/G, 1/G）-expansion method and its application to travelling wave solutions of the Zakharov equations |
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| 作者姓名： | LI Ling-xiao LI Er-qiang WANG Ming-liang |
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| 作者单位： | [1]College of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471003, China [2]Department of Mathematics, Lanzhou University, Lanzhou, 730000, China |
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| 基金项目： | Cooperation and Exchanges Foundation of Henan Province （084300510060） and the Youth Science Foundation of Henan University of Science and Technology of China （2008QN026）. |
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| 摘 要： | The （G＇/G, 1/G）-expansion method for finding exact travelling wave solutions of nonlinear evolution equations, which can be thought of as an extension of the （G＇/G）-expansion method proposed recently, is presented. By using this method abundant travelling wave so- lutions with arbitrary parameters of the Zakharov equations are successfully obtained. When the parameters are replaced by special values, the well-known solitary wave solutions of the equations are rediscovered from the travelling waves.
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| 关 键 词： | Zakharov方程 精确行波解 展开法 非线性演化方程 旅游 应用 扩展方法 孤立波解 |
| 收稿时间： | 2007-01-06 |
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