| Symbolic Computation and Construction of New Exact Travelling Wave Solutions to （3＋1）-Dimensional KP Equation |
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| 引用本文： | WEN Xiao-Yong. Symbolic Computation and Construction of New Exact Travelling Wave Solutions to （3＋1）-Dimensional KP Equation[J]. 理论物理通讯, 2008, 49(5): 1235-1240 |
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| 作者姓名： | WEN Xiao-Yong |
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| 作者单位： | Department of Mathematics, College of Sciences, Beijing Information Science and Technology University, Beijing 100192,China |
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| 基金项目： | The project supported by the Scientific Research Foundation of Beijing Information Science and Technology University |
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| 摘 要： | With the aid of symbolic computation system Maple, many exact solutions for the （3＋1）-dimensional KP equation are constructed by introducing an auxiliary equation and using its new Jacobi elliptic function solutions, where the new solutions are also constructed. When the modulus m → 1 and m →0, these solutions reduce to the corresponding solitary evolution solutions and trigonometric function solutions.
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| 关 键 词： | (3+1)维KP方程 辅助方程 椭圆形方程 精确解 |
| 收稿时间： | 2007-05-25 |
Symbolic Computation and Construction of New Exact TravellingWave Solutions to (3+1)-Dimensional KP Equation |
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| WEN Xiao-Yong. Symbolic Computation and Construction of New Exact TravellingWave Solutions to (3+1)-Dimensional KP Equation[J]. Communications in Theoretical Physics, 2008, 49(5): 1235-1240 |
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| Authors: | WEN Xiao-Yong |
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| Affiliation: | Department of Mathematics, College of Sciences, Beijing Information Science and Technology University, Beijing 100192, China |
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| Abstract: | With the aid of symbolic computation system Maple, many exactsolutions for the (3+1)-dimensional KP equation are constructed byintroducing an auxiliary equation and using its new Jacobi ellipticfunction solutions, where the new solutions are also constructed.When the modulus m→1 and m→0, thesesolutions reduce to the correspondingsolitary evolution solutions and trigonometric function solutions. |
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| Keywords: | （3＋1）-dimensional KP equation auxiliary equation Jacobi elliptic function exact solution |
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