| New Exact Travelling Wave Solutions to Kundu Equation |
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| 作者姓名： | HUANG Ding-Jiang LI De-Sheng ZHANG Hong-Qing |
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| 作者单位： | [1]Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China [2]Department of Mathematics, Shenyang Normal University, Shenyang 110034, China |
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| 基金项目： | The project partially supported by the State Key Basic Research Program of China under Grant No. 2004CB318000 |
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| 摘 要： |
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| 关 键 词： | Kundu方程 非线性发展方程 常微分方程 算法理论 精确解 |
| 收稿时间： | 2005-03-14 |
| 修稿时间： | 2005-03-14 |
New Exact Travelling Wave Solutions to Kundu Equation |
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| HUANG Ding-Jiang LI De-Sheng, ZHANG Hong-Qing.New Exact Travelling Wave Solutions to Kundu Equation[J].Communications in Theoretical Physics,2005,44(6):969-976. |
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| Authors: | HUANG;Ding-Jiang;LI;De-Sheng ;ZHANG;Hong-Qing |
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| Abstract: | Based on a first-order nonlinear ordinary differential equation with Six-degree nonlinear term, we first present a new auxiliary equation expansion method and its algorithm. Being concise and straightforward, the method is applied to the Kundu equation. As a result, some new exact travelling wave solutions are obtained, which include bright and dark solitary wave solutions, triangular periodic wave solutions, and singular solutions. This algorithm can also be applied to other nonlinear evolution equations in mathematical physics. |
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| Keywords: | nonlinear evolution equation Kundu equation ordinary differential equation algorithm exact solution travelling wave solution |
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