一类空间-时间分数阶Whitham-Broer-Kaup方程的行波解

摘要

We considered the existence of travelling wave solutions of a class of space-time Whitham-Broer-Kaup (WBK)equations with modified Riemann-Liouville fractional derivative.First,we turned the WBK equations into the ordinary differential equations,and then got analytical expressions of some travelling wave solutions of this equations by using the first integral method.%考虑修正Riemann-Liouville分数阶导数意义下的一类空间-时间Whitham-Broer-Kaup(WBK)方程行波解的存在性,首先将WBK方程化为常微分方程组,然后利用首次积分法得到该方程一些行波解的解析表达式.