一个变系数广义Fisher方程的自-BT和精确解

Auto Bcklund Transformation and Exact Solutions to a Generalized Fisher Equation with Variable Coefficients

设方程的系数满足线性相关条件,用齐次平衡原则导出了一个广义变系数Fisher方程的自-B¨acklund变换(BT)。利用BT获得了变系数广义Fisher方程的若干精确解。

By using the homogeneous balance principle,an auto Bcklund Transformation (BT) to the generalized Fisher equation with variable coefficients is derived if the coefficients of the equation are dependent linearly. In terms of the BT,several exact solutions to the generalized Fisher equation with variable coefficients are obtained.