具外力项变系数Burgers方程和Witham-Broer-Kaup方程新的显式精确解

New Explicit and Exact Solutions to the Variable Coefficient Burgers Equation with Forced Term outside and Witham-Broer-Kaup Equation

借助两个推广形式的Riccati方程组和Mathematica软件,求出了具外力项变系数Burgers方程和Witham- Broer-Kaup方程的一些精确解,包括各种类孤立波解、类周期解和变速孤立波解,其中许多解是新的.

By using two extended Riccati equations and Mathematica software, the author obtains exact solutions to the Variable Coefficient Burgers Equation with forced term outside and Witham-Broer-Kaup equation, including many kinds of solitary-wave-like solutions, like periodical solutions and solitary wave solutions with variable speed, many of which are found for the first time.