Fisher行波解方程的Liouville可积性条件

Liouville Integrable Condition About Travelling Wave Solution Equation of Fisher Equation

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.

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.