中文摘要：

应用推广的简单方程方法成功构造了Whitham—Broer—Kaup—Like方程组新的精确行波解。这些行波解分别以含有双参数的双曲函数，三角函数和有理函数表示。当双曲函数表示的行波解中参数取特殊值时可得孤波解。得到的结果说明了推广的简单方程方法是直接、可靠和行之有效的，并且该方法也可用于求解数学物理中其它非线性发展方程的更多精确行波解。

英文摘要：

By applying the extended simplest equation method, the new exact traveling wave solutions of the Whitham-Broer-Kaup-Like equations were successfully constructed. The exact traveling wave solutions with double arbitrary parameters are expressed by the hyperbolic functions, the trigonometric functions and the rational functions respectively. When the parameters are taken as special values, some solitary wave solutions are derived from the hyperbolic function solutions. The obtained results illustrate that the extended simplest equation method is direct, reliable and effective and can be used to obtain more exact traveling wave solutions of other nonlinear evolution equations in mathematical physics.