Lax形式的5阶KdV方程的两类尖孤立波解  

Two Kinds of Peaked Solitary Waves of the Lax Form Fifth-order KdV 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：《应用数学》2014年第3期514-518,共5页Mathematica Applicata

基　　金：国家自然科学基金(10871129);河南省教育厅自然科学研究计划项目(2011B110013;12B110006);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)资助的课题

摘　　要：Lax形式的5阶KdV方程的尖孤波解尚未见有文献报道.本文首次给出Lax形式的5阶KdV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,是方程的物理解.The peaked solitary wave solutions of the Lax form fifth-order KdV equation have been not reported by any literature.Two kinds of peaked solitary wave solutions of the Lax form fifth-order KdV equation are given for the first time.All of them have either apeakon or an anti-peakon,and satisfy the Rankine-Hugoniot condition and entropy condition,then they are physical solutions of the equation.

关 键 词：5阶KdV方程 尖孤波解 Rankine-Hugoniot条件 LS解法 弱解 

分 类 号：O175.2[理学—数学]