| Periodic Wave Solutions for （2＋1）-Dimensional Boussinesq Equation and （3＋ 1）-Dimensional Kadomtsev-Petviashvili Equation |
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| 作者姓名： | ZHANG Huan, TIAN Bo, ZHANG Hai-Qiang, GENG Tao, MENG Xiang-Hua, LIU Wen-Jun, CAI Ke-Jie |
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| 作者单位： | [1]School of Science, P.O. Box 122, Beijing University of Posts and Telecommunications, Beijing 100876, China; [2]State Key Laboratory of Software Development Environment, Beijing University of Aeronautics and Astronautics, Beijing 100083, China; [3]Key Laboratory of Optical Communication and Lightwave Technologies, Ministry of Education, Beijing University of Posts and Telecommunications, Beijing 100876, China |
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| 基金项目： | The project supported by the National Natural Science Foundation of China under Grant Nos. 60772023 and 60372095, the Key Project of the Ministry of Education under Grant No. 106033, the Open Fund of the State Key Laboratory of Software Development Environment under Grant No. SKLSDE-07-001, Beijing University of Aeronautics and Astronautics, the National Basic Research Program of China （973 Program） under Grant No. 2005CB321901, and the Specialized Research Fund for the Doctoral Program of Higher Education of the Ministry of Education under Grant No. 20060006024 |
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| 摘 要： | For describing various complex nonlinear phenomena in the realistic world, the higher-dimensional nonlinear evolution equations appear more attractive in many fields of physical and engineering sciences. In this paper, by virtue of the Hirota bilinear method and Riemann theta functions, the periodic wave solutions for the （2＋1）-dimensional Boussinesq equation and （3＋1）-dimensional Kadomtsev Petviashvili （KP） equation are obtained. Furthermore, it is shown that the known soliton solutions for the two equations can be reduced from the periodic wave solutions.
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| 关 键 词： | 周期波解 Boussinesq方程 KP方程 双线性法 |
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