| 离散时滞KdV类方程的群不变解 |
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| 引用本文： | 赵志红,徐远通,葛渭高.离散时滞KdV类方程的群不变解[J].中山大学学报(自然科学版),2010,49(3). |
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| 作者姓名： | 赵志红 徐远通 葛渭高 |
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| 作者单位： | 1. 北京理工大学理学院,北京,100081
2. 中山大学数学与计算科学学院,广东,广州,510275 |
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| 摘 要： | 研究时滞KdV类方程ut(t,x)+u(t,x)ux(t,x)+uxxx(t,x)=g(x,u,u(t-τ,x))的群不变解。主要方法是根据时滞微分方程等价Lie群的定义,可构造时滞KdV类方程相应的决定方程和容许Lie群,从而得到时滞KdV类方程的群不变解。
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| 关 键 词： | 时滞KdV类方程 容许Lie群 群不变解 |
| 收稿时间： | 2009-05-15; |
The Group Invariant Solutions of KdV Type Equation with Discrete Delay |
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| ZHAO Zhihong,XU Yuantong,GE Weigao.The Group Invariant Solutions of KdV Type Equation with Discrete Delay[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2010,49(3). |
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| Authors: | ZHAO Zhihong XU Yuantong GE Weigao |
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| Institution: | (1Department of Mathematics, Beijing Institute of Technology, Beijing 100081,China;2Department of Mathematics, Sun Yat sen University, Guangzhou 510275,China) |
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| Abstract: | The group invariant solutions of the KdV type equation with discrete delay ut(t,x)+u(t,x)ux(t,x)+uxxx(t,x)=g(x,u,u(t-τ,x)) are studied. According to the definition of an equivalence Lie group for delay differential equations, we construct the determining equations and admitted Lie groups of delay KdV type equation. Then the group invariant solutions of the delay KdV type equation are obtained. |
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| Keywords: | KdV type equation with discrete delay admitted Lie group group invariant solution |
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