| 含强非线性项的Davey-Stewartson方程组的显式精确解 |
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| 引用本文： | 吴小红.含强非线性项的Davey-Stewartson方程组的显式精确解[J].佳木斯大学学报,2006,24(4):573-575. |
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| 作者姓名： | 吴小红 |
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| 作者单位： | 浙江丽水学院物理系 浙江丽水323000 |
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| 基金项目： | 国家自然科学基金;和丽水学院校科研和教改项目 |
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| 摘 要： | 对含强非线性项的Davey-Stewartson方程组进行了研究,首先将含强非线性项的Davey-Stewartson方程组约化成Lienard方程.通过求解Lienard方程,得到方程的精确解,包括钟型孤立子解、冲击波型孤立子解、周期波解和类孤立子解.
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| 关 键 词： | Davey-Stewartson方程组 孤立子解 周期波解 |
| 文章编号： | 1008-1402（2006）04-0573-03 |
| 收稿时间： | 2006-09-06 |
| 修稿时间： | 2006年9月5日 |
Explicit and Exact Solutions for the Davey-Stewartson Equation Set with Strong Nonlinear Term |
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| WU Xiao-hong.Explicit and Exact Solutions for the Davey-Stewartson Equation Set with Strong Nonlinear Term[J].Journal of Jiamusi University(Natural Science Edition),2006,24(4):573-575. |
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| Authors: | WU Xiao-hong |
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| Institution: | Department of Physics,Zhejiang Lishui University, lishui 323000, China |
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| Abstract: | In this paper,the Davey-Steqartson equation set with strong nonlinear term isstudied.The Davey-Stewartson equation set is reduced to Lienerd equation first,and then the explicit and exact solutions for these equations,which include exact isolated wave solutions,periodic solutions and exact isolated-type wave solutions,are obtained through solving the Lienard equation. |
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| Keywords: | Davey-Stewartson equation set isolated sub-solution periodic wave solution |
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