| 一类偏微分方程的Painleve分析 |
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| 引用本文： | 位瑞英,李银.一类偏微分方程的Painleve分析[J].韶关学院学报,2010,31(6). |
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| 作者姓名： | 位瑞英 李银 |
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| 作者单位： | 韶关学院,数学与信息科学学院,广东,韶关512005 |
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| 基金项目： | 国家自然科学基金项目，韶关学院基金 |
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| 摘 要： | 基于WTC方法对一类偏微分方程iut+uxx-2|u|2u=au-b的Painleve性质进行了检验,使之能有效地用于非线性系统的可积性及不可积系统特殊类型解的研究,并给出该方程的潘勒维检验.
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| 关 键 词： | 李群理论 单参数变换群 偏微分方程 Painleve |
A class of partial differential equations of the Painleve analysis |
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| WEI Rui-ying,LI Yin.A class of partial differential equations of the Painleve analysis[J].Journal of Shaoguan University(Social Science Edition),2010,31(6). |
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| Authors: | WEI Rui-ying LI Yin |
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| Institution: | WEI Rui-ying; LI Yin (College of Mathematics and Information Sciences; Shaoguan University; Shaoguan; 512005; Guangdong; China); |
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| Abstract: | Based on WTC method of the basic theory, we test a class of partial differential equations(iut+uxx-2 |u |2u =au -b) of Painleve properties, and the method can effectively be used for integrability of nonlinear systems and non-integrable system of special type of solution and give Panlewei checkouts of partial differential equations. |
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| Keywords: | Painleve |
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