| New Exact Periodic Solitary-Wave Solutions for New （2＋1）-Dimensional KdV Equation |
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| 作者姓名： | WANG Chuan-Jia DAI Zheng-De MU Gui LIN Song-Qing |
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| 作者单位： | School of Mathematics and Statistics, Yunnan University, Kunming 650091, China |
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| 基金项目： | Supported by the Natural Science Foundation of China under Grant Nos. 10361007, 10661002, Yunnan Natural Science Foundation under Grant No. 2006A0082M |
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| 摘 要： | ![]()
The extended homoclinic test function method is a kind of classic, efficient and well-developed method to solve nonlinear evolution equations. In this paper, with the help of this approach, we obtain new exact solutions （including kinky periodic solitary-wave solutions, periodic soliton solutions, and cross kink-wave solutions） for the new （2＋1）-dimensional KdV equation. These results enrich the variety of the dynamics of higher-dimensionai nonlinear wave field.
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| 关 键 词： | KdV方程 孤波解 周期 非线性演化方程 测试功能 精确解 孤子解 |
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