| Boussinesq-Schrdinger方程组的精确解 |
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| 引用本文： | 陆博,李巧萍.Boussinesq-Schrdinger方程组的精确解[J].河南纺织高等专科学校学报,2009(4):53-55. |
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| 作者姓名： | 陆博 李巧萍 |
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| 作者单位： | 河南科技学院数学系,河南新乡453003 |
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| 摘 要： | 研究一类耦合的（1＋1）维Boussinesq-Schrdinger方程组.利用行波约化方法和齐次平衡法,并借助一维立方非线性Klein-Gordon方程的精确解,将方程组的求解问题转变成一个常微分方程组的求解问题,并求出了此方程组新的精确解,最后给出耦合方程组的几组具体的精确解.
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| 关 键 词： | 行波约化法 立方非线性Klein-Gordon方程 Boussinesq-Schrdinger方程组 精确解 |
Exact Solutions to Boussinesq-Schrodinger Equations |
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| LU Bo,Li Qiaoping.Exact Solutions to Boussinesq-Schrodinger Equations[J].Journal of Henan Textile College,2009(4):53-55. |
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| Authors: | LU Bo Li Qiaoping |
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| Affiliation: | (Department of Mathematics, Henan Institute of Science and Technology, Xinxiang 453003, China) |
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| Abstract: | In the paper, a class of the coupled （ 1 ＋ 1 ） -dimensional the Boussinesq-Schrodinger equations system is studied. By using the traveling wave reduction method and the homogeneous balance method, the problem of the solving the system is transformed the problem of solving the ODE, and the exact solutions to the system are obtained with the aid of exact solutions to the cubic nonlinear Klein-Gordon equation. Finally some concrete exact solutions to the coupled system are given. |
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| Keywords: | traveling wave reduction method cubic nonlinear Klein-Gordon equation （ 1 ＋ 1 ） -dimensional Boussinesq-Schrodinger equations system exact solutions |
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