The formally variable separation approach is one of the best method to looking for the exact solitary wave solutions of a nonlinear physical model.
形式变量分离方法是寻找非线性物理方程孤子解的一种行之有效的方法。
We successfully derived some exact solitary wave solutions of the nonlinear approximate equations with long waves in shallow water by using the hyperbola function method.
用双曲函数法，成功得到了非线性浅水长波近似方程组的精确孤立波解。
The exact and explicit solutions of these equations are obtained by using the travelling wave method. These exact solutions are solitary wave solutions of a rational type.
用行波方法得到了这些方程的显式精确解，即有理分式型孤立波解。
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