| 非线性NLS方程的新显式精确行波解 |
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| 引用本文： | 赵长海.非线性NLS方程的新显式精确行波解[J].南通大学学报(自然科学版),2007,6(3):12-15,22. |
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| 作者姓名： | 赵长海 |
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| 作者单位： | 南通大学,理学院,江苏,南通,226007 |
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| 基金项目： | 南通大学校科研和教改项目 |
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| 摘 要： | 给出一种求解非线性发展方程精确行波解的新方法——双函数法.借助计算机代数系统Mathematica,利用双函数法和吴文俊消元法,获得NLS方程的多组新的显式行波解,包括孤波解和周期解.
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| 关 键 词： | 双函数法 吴文俊消元法 NLS方程 行波解 |
| 文章编号： | 1673-2340（2007）03-0012-04 |
| 修稿时间： | 2007-03-19 |
New Explicit and Exact Traveling Wave Solutions of the NLS Nonlinear Equations |
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| Authors: | ZHAO Chang-hai |
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| Institution: | School of Sciences, Nantong University, Nantong 226007, China |
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| Abstract: | Hyperbola function method is proposed for constructing exact traveling wave solutions for nonlinear evolution equations.In this paper,many traveling wave solutions to NLS equations were obtained by using hyperbola function method and Wu-elimination method,which include new traveling wave solutions and rational traveling wave solutions.The method used here can also be applied to other nonlinear equations. |
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| Keywords: | hyperbola function method Wu-elimination method NLS equation traveling wave solution |
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