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| The soliton-like solutions to the （2＋1）-dimensional modified dispersive water-wave system | |
| 引用本文： | 李德生,张鸿庆. The soliton-like solutions to the （2＋1）-dimensional modified dispersive water-wave system[J]. 中国物理, 2004, 13(7): 984-987. DOI: 10.1088/1009-1963/13/7/002 |
| 作者姓名： | 李德生 张鸿庆 |
| 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; Science School, Shenyang University of Technology, Shenyang 110023, China |
| 基金项目： | Project supported by the National Key Basic Research Special Foundation of China (Grant No 1998030600) and the National Natural Science Foundation of China (Grant No 10072013). |
| 摘 要： | By a simple transformation, we reduce the (2 1)-dimensional modified dispersive water-wave system to a simple nonlinear partial differential equation. In order to solve this equation by generalized tanh-function method, we only need to solve a simple system of first-order ordinary differential equations, and by doing so we can obtain many new soliton-like solutions which include the solutions obtained by using the conventional tanh-function method. |
| 关 键 词： | 类孤立解 三维修正扩散水波系统 广义双曲正切函数理论 流体力学 |
| 收稿时间： | 2003-10-28 |
The soliton-like solutions to the (2+1)-dimensional modified dispersive water-wave system |
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| Li De-Sheng and Zhang Hong-Qing. The soliton-like solutions to the (2+1)-dimensional modified dispersive water-wave system[J]. Chinese Physics, 2004, 13(7): 984-987. DOI: 10.1088/1009-1963/13/7/002 | |
| Authors: | Li De-Sheng and Zhang Hong-Qing |
| Affiliation: | Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China; Science School, Shenyang University of Technology, Shenyang 110023, China |
| Abstract: | By a simple transformation, we reduce the (2+1)-dimensional modified dispersive water-wave system to a simple nonlinear partial differential equation. In order to solve this equation by generalized tanh-function method, we only need to solve a simple system of first-order ordinary differential equations, and by doing so we can obtain many new soliton-like solutions which include the solutions obtained by using the conventional tanh-function method. |
| Keywords: | (2+1)-dimensional modified dispersive water-wave system generalized tanh-function method soliton-like solutions |
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