Painlevé integrability of a generalized fifth-order KdV equation with variable coefficients: Exact solutions and their interactions

作     者：徐桂琼 

作者机构：Department of Information ManagementCollege of ManagementShanghai University 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2013年第22卷第5期

页      面：75-82页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Project supported by the National Natural Science Foundation of China (Grant Nos. 11201290 and 71103118) 

主　　题：generalized fifth-order KdV equation Painleve integrability soliton solution symbolic computa-tion 

摘      要：By means of singularity structure analysis, the integrability of a generalized fifth-order KdV equation is investigated. It is proven that this equation passes the Painleve test for integrability only for three distinct cases. Moreover, the multi- soliton solutions are presented for this equation under three sets of integrable conditions. Finally, by selecting appropriate parameters, we analyze the evolution of two solitons, which is especially interesting as it may describe the overtaking and the head-on collisions of solitary waves of different shapes and different types.