Sawada-Kotera方程的两类尖孤立波解  

Two Kinds of Peaked Solitary Wave Solution of Sawaka-Kotera Equation

作　　者：李向正[1] 

机构地区：[1]河南科技大学数学与统计学院,河南洛阳471023

出　　处：《河南科技大学学报（自然科学版）》2014年第2期78-81,9,共4页Journal of Henan University of Science And Technology:Natural Science

基　　金：国家自然科学基金项目(10871129);河南科技大学科研创新能力培育基金项目(2010CZ0016);河南科技大学博士启动基金项目(09001562)

摘　　要：用(G'/G)展开法构造出了SK方程的两类尖孤波解。这两类孤波解都有尖峰或倒尖峰,且满足Rankine-Hugoniot条件和熵条件,是方程的弱解。Two kinds of peaked solitary wave solutions of Sawaka-Kotera equation were given by means of the( G'/G)-expansion method. All of them have either a peakon or an anti-peakon,and satisfy the RankineHugoniot condition and entropy condition,then u 7 ~ u 12 are weak solutions of the equation.

关 键 词：SAWADA-KOTERA方程 尖孤波解 Rankine-Hugoniot条件 (G′ G)展开法 弱解 

分 类 号：O175.2[理学—数学]