Camassa-Holm和Degasperis-Procesi方程的延拓结构(英文)  

Prolongation Structures of the Camassa-Holm and Degasperis-Procesi Equations

作　　者：白永强[1,2] 裴明[1] 高文娟[1] 

机构地区：[1]河南大学数学与信息科学学院,河南开封475004 [2]河南大学现代数学研究所,河南开封475004

出　　处：《河南大学学报（自然科学版）》2011年第6期551-555,共5页Journal of Henan University:Natural Science

基　　金：supported by National Natural Science Foundation of China(10801045);Program for Science&Technology Innovation Talents in Universities of Henan Province(2010HASTIT033);Foundation of Henan Technology Committee(082300410020)

摘　　要：延拓结构理论是得到非线性偏微分方程的拉克斯对、贝克隆变换等的一种有效方法.本文考虑了一族带参数方程的延拓结构,得到了伴随与Camassa-Holm和Degasperis-Procesi方程的逆散射方程.由此,检验了这两个方程的可积性.The prolongation structure theory is an effective method to obtain the Lax pair,backlund than formation of nonlinear partial differential equations.This paper considered the prolongation structure of a system of partial differential equations with a parameter.The inverse scattering equations associated with the Camassa-Holm and the Degasperis-Procesi equations are also obtained.Therefore,their integrability has been proved.

关 键 词：延拓结构 CAMASSA-HOLM DEGASPERIS-PROCESI 拉克斯对 

分 类 号：O175.14[理学—数学]