| New doubly periodic and multiple soliton solutions of the generalized （3＋l）-dimensional KP equation with variable coefficients |
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| 引用本文： | 陈怀堂,张鸿庆. New doubly periodic and multiple soliton solutions of the generalized （3＋l）-dimensional KP equation with variable coefficients[J]. 中国物理, 2003, 12(11): 1202-1207. DOI: 10.1088/1009-1963/12/11/303 |
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| 作者姓名： | 陈怀堂 张鸿庆 |
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| 作者单位： | (1)Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China; (2)Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China; Department of Mathematics, Linyi Teachers University, Shandong Linyi 276005, China |
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| 基金项目： | Project supported by the National Key Basic Research Development Program of China (Grant No 1998030600), and the National Natural Science Foundation of China (Grant No 10072013). |
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| 摘 要： | A new generalized Jacobi elliptic function method is used to construct the exact travelling wave solutions of nonlinear partial differential equations (PDEs) in a unified way. The main idea of this method is to take full advantage of the elliptic equation which has more new solutions. More new doubly periodic and multiple soliton solutions are obtained for the generalized (3+1)-dimensional Kronig－Penny (KP) equation with variable coefficients. This method can be applied to other equations with variable coefficients.
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| 关 键 词： | 椭圆方程 孤立解 行波解 非线性偏微分方程 计算数学 |
| 收稿时间： | 2003-02-17 |
New doubly periodic and multiple soliton solutions of the generalized (3+1)-dimensional KP equation with variable coefficients |
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| Chen Huai-Tang and Zhang Hong-Qing. New doubly periodic and multiple soliton solutions of the generalized (3+1)-dimensional KP equation with variable coefficients[J]. Chinese Physics, 2003, 12(11): 1202-1207. DOI: 10.1088/1009-1963/12/11/303 |
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| Authors: | Chen Huai-Tang and Zhang Hong-Qing |
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| Affiliation: | Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China; Department of Mathematics, Linyi Teachers University, Shandong Linyi 276005, China |
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| Abstract: | A new generalized Jacobi elliptic function method is used to construct the exact travelling wave solutions of nonlinear partial differential equations (PDEs) in a unified way. The main idea of this method is to take full advantage of the elliptic equation which has more new solutions. More new doubly periodic and multiple soliton solutions are obtained for the generalized (3+1)-dimensional Kronig－Penny (KP) equation with variable coefficients. This method can be applied to other equations with variable coefficients. |
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| Keywords: | elliptic equation Jacobi elliptic function soliton solution |
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