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中文摘要：
引入Riccati方程的两组双参数分式型解,给出扩展双曲正切函数法的一个推广.作为方法的应用,给出立方非线性Shr9dinger方程、Vakhnenko-Parkes方程和修正Camassa-Holm方程的无穷多个精确行波解.双参数分式型解不仅能够给出无穷多个新的孤波解,还可用来证明Riccati方程解之间的等价关系.
英文摘要：
A generalization of the extended tanh-function method is proposed by introducing two fractional types of exact solutions with two parameters of the Riccati equation. Infinite number of exact traveling wave solutions of the cubic nonlinear Schr6dinger equation, the Vakhnenko-Parkes equation and the modified Camassa-Hoim equation are obtained by the method. The fractional type solutions not only can give infinite new solutions of exact solitary waves but also can be used to prove the equivalence relations for the solutions of the Riccati equation.
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