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摘要: 利用齐次平衡法给出了一类较广泛的五阶非线性演化方程的孤波解,数学物理中著名的Kaup-Kupershmidt方程、Caudrey-Dodd-Gibbon-Sawada-Kotera方程和五阶Korteweg-de-Vries方程等都可作为该方程的特殊情形而得到相应的孤波解.
Abstract: The exact explicit solitary wave solutions for a class of fifth-order nonliear evolution equations are obtained by using a homogeneous method. Particular important cases of the equation, such as Kaup-Kupershmidt, Caudrey-Dodd-Gibbon-Sawada-Kotera and fifth-order KdV equations can be solved by this method.