| Periodic Bifurcation and Soliton Deflexion for Kadomtsev-Petviashvili Equation |
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| 作者姓名： | 戴正德 李绍林 李栋龙 朱爱军 |
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| 作者单位： | [1]School of Mathematics and Physics, Yunnan University, Kunming 650091 [2]Department of Information and Computing Science, Guangxi Institute of Technology, Liuzhou 545005 [3]The Institute of Mathematical Sciences, The Chinese University of Hong Kong, Hong Kong [4]Department of Mathematics, Honghe College, Mengzi 661100 [5]School of Mathematics and Physics, Nanhua University, Hengyang 421001 |
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| 基金项目： | Supported by the National Natural Science Foundation of China under Grant Nos 10361007 and 10661002, the Yunnan Natural Science Foundation （No 2004A0001M）, and The IMS, CUHK. |
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| 摘 要： | The spatial-temporal bifurcation for Kadomtsev-Petviashvili （KP） equations is considered. Exact two-soliton solution and doubly periodic solution to the KP-I equation, and two classes of periodic soliton solutions in different directions to KP-Ⅱ are obtained using the bilinear form, homoclinic test technique and temporal and 1 spatial transformation method, respectively. The equilibrium solution uo =-1/6, a unique spatial-temporal bifurcation which is periodic bifurcation for KP-I and deflexion of soliton for KP-Ⅱ, is investigated.
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| 关 键 词： | 周期分叉 孤立子 KP方程 数学物理 |
| 修稿时间： | 2006-12-04 |
Periodic Bifurcation and Soliton Deflexion for Kadomtsev-Petviashvili Equation |
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| DAI Zheng-De, LI Shao-Lin, LI Dong-Long, ZHU Ai-Jun.Periodic Bifurcation and Soliton Deflexion for Kadomtsev-Petviashvili Equation[J].Chinese Physics Letters,2007,24(6):1429-1432. |
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| Authors: | DAI Zheng-De LI Shao-Lin LI Dong-Long ZHU Ai-Jun |
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| Affiliation: | 1 School of Mathematics and Physics, Yunnan University, Kunming 650091 2 Department of Information and Computing Science, Guangxi Institute of Technology, Liuzhou 545005 3 The Institute of Mathematical Sciences, The Chinese University of Hong Kong, Hong Kong 4 Department of Mathematics, Honghe College, Mengzi 661100 5 School of Mathematics and Physics, Nanhua University, Hengyang 421001 |
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