| 受迫广义KdV-Burgers方程行波解的存在唯一性 |
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| 引用本文： | 陈义安.受迫广义KdV-Burgers方程行波解的存在唯一性[J].数学杂志,2007,27(6):651-654. |
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| 作者姓名： | 陈义安 |
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| 作者单位： | 重庆工商大学理学院,重庆,400067 |
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| 摘 要： | 本文研究具有受迫性的广义二维KdV-Burgers方程的周期行波解,为了获得周期行波解的存在唯一性定理,使唤用特定系数法和Schauder不动点定理获得了受迫广义KdV-Burgers方程周期行波解存在唯一性的条件.并获得了周期行波解的一些先验估计式.
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| 关 键 词： | 受迫二维KdV-Burgers方程 存在唯一性定理 周期行波解 |
| 文章编号： | 0255-7797（2007）06-0651-04 |
| 修稿时间： | 2004-12-30 |
EXISTENCE AND UNIQUENESS OF PERIODIC TRAVELING WAVE SOLUTION TO A FORCED GENERALIZED KdV-BURGERS EQUATIOM |
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| CHEN Yi-an.EXISTENCE AND UNIQUENESS OF PERIODIC TRAVELING WAVE SOLUTION TO A FORCED GENERALIZED KdV-BURGERS EQUATIOM[J].Journal of Mathematics,2007,27(6):651-654. |
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| Authors: | CHEN Yi-an |
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| Institution: | College of Science, Chongqing Technology and Business University, Chongqing 400067, China |
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| Abstract: | This paper considers the periodic traveling wave solution for the two-dimensional generalized Korteweg-de Vries Burgers equation with a forcing function,the existence and uniqueness of periodic traveling wave solution are proved by Schauder's fixed point theorem,and the estimating expressions for this periodic traveling wave solution are given. |
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| Keywords: | two dimensional generalized KdV-Burgers equation existence and uniqueness traveling wave solution |
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