具耗散项的对称正则长波方程的显式精确解  

Explicit and Exact Solutions of the Symmetric Regularized Long Wave Equation with Dissipative Term

作　　者：王可升[1] 

机构地区：[1]西安石油学院信息科学系,陕西西安710065

出　　处：《西安石油学院学报（自然科学版）》2002年第5期83-85,共3页Journal of Xi'an Petroleum Institute（Natural Science Edition)

摘　　要：Some explicit and exact traveling wave solutions of a class of symmetric regularized long wave equations with dissipative term are obtained by a kind of combination of direct method with ansatze method. These solutions include solitary wave solutions, singular traveling wave solutions. The corresponding solutions to the damped Boussinesq equation and the generalized Fisher equation are obtained as a corollary.Some explicit and exact traveling wave solutions of a class of symmetric regularized long wave equations with dissipative term are obtained by a kind of combination of direct method with ansatze method. These solutions include solitary wave solutions, singular traveling wave solutions. The corresponding solutions to the damped Boussinesq equation and the generalized Fisher equation are obtained as a corollary.

关 键 词：耗散项 对称正则长波方程 显式精确解 非线性发展方程 直接方法 假设方法 孤波解 

分 类 号：O175.29[理学—数学]