| Exact Solutions to a （3＋l）-Dimensional Variable-Coefficient Kadomtsev-Petviashvilli Equation via the Bilinear Method and Wronskian Technique |
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| 引用本文： | ZHANG Chcng,TIAN Bo,XU Tao,LI Li-Li,Lü Xing,GENG Tao,ZHU Hong-Wu.Exact Solutions to a （3＋l）-Dimensional Variable-Coefficient Kadomtsev-Petviashvilli Equation via the Bilinear Method and Wronskian Technique[J].理论物理通讯,2009(9):468-472. |
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| 作者姓名： | ZHANG Chcng TIAN Bo XU Tao LI Li-Li Lü Xing GENG Tao ZHU Hong-Wu |
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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 100191, China [3]Key Laboratory of Information Photonics and Optical Communications, Ministry of Education, Beijing University of Posts and Telecommunications, Beijing 100876, China |
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| 基金项目： | Supported by the National Natural Science Foundation of China under Grant No. 60772023, by the Open Fund of the State Key Laboratory of Software Development Environment under Grant No. BUAA-SKLSDE-09KF-04, Beijing University of Aeronautics and Astronautics, by the National Basic Research Program of China （973 Program） under Grant No. 2005CB321901, and by the Specialized Research Fhnd for the Doctoral Program of Higher Education under Grant Nos. 20060006024 and 200800130006, the Ministry of Education.We express our sincere thanks to Prof. Y. Gao for his valuable comments. |
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| 摘 要： | By truncating the Painleve expansion at the constant level term, the Hirota bilinear form is obtained for a （3＋1）-dimensional variable-coefficient Kadomtsev Petviashvili equation. Based on its bilinear form, solitary-wave solutions are constructed via the ε-expansion method and the corresponding graphical analysis is given. Furthermore, the exact solution in the Wronskian form is presented and proved by direct substitution into the bilinear equation.
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| 关 键 词： | 朗斯基行列式 双线性方程 变系数 精确解 双线性方法 双线性形式 技术 图形分析 |
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