广义变系数Burgers方程的精确解

Exact Solutions of Generalized Burgers' Equation with Variable Coefficients

对双曲函数法进行了扩展,利用它找到了广义变系数Burgers方程在一定条件下的若干精确解,包括变速孤立波解和周期波解,许多解为首次所得．实例表明在对变系数偏微分方程的求解中,该法仍然是一种简便易行的方法．

This paper found some exact solutions of Burgers＇ equation with variable coefficients by the hyperbola function method, including solitary wave periodic solutions. Some of the solutions were derived for the first time. The that this approach is simple and efficient even for solving partial differential variable coefficients. solutions and results showed equations with variable coefficients.