| Fisher行波解方程的Liouville可积性条件 |
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| 引用本文： | 尹君毅,管克英.Fisher行波解方程的Liouville可积性条件[J].北京交通大学学报(自然科学版),2008,32(3):94-97. |
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| 作者姓名： | 尹君毅 管克英 |
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| 作者单位： | 北京交通大学,理学院,北京,100044;北京交通大学,理学院,北京,100044 |
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| 摘 要： | 利用复域上二元多项式函数的整除定理,给出并证明了Fisher行波解方程存在代数曲线解的充要条件,并根据二阶多项式自治系统的Liouville可积判别法则,得到并证明了该方程在Liou-ville意义下的可积性条件.
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| 关 键 词： | Fisher方程 Liouville可积 代数曲线解 整除定理 |
Liouville Integrable Condition About Travelling Wave Solution Equation of Fisher Equation |
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| YIN Junyi,GUAN Keying.Liouville Integrable Condition About Travelling Wave Solution Equation of Fisher Equation[J].JOURNAL OF BEIJING JIAOTONG UNIVERSITY,2008,32(3):94-97. |
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| Authors: | YIN Junyi GUAN Keying |
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| Abstract: | Algebraic curve solution about Travelling Wave Solution equation of Fisher Equation is presented by the exactly divisible theory of binary polynomial on the complex field.From Liouville Integrable criterion about the second order polynomial,Liouville Integrable Condition about the equation is obtained and proved. |
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| Keywords: | Fisher equation Liouville integrability algebraic curve solution division theorem |
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