一个二分量b族方程及其尖峰孤子解  

A Two-Component b Family Equation and Its Peakon Solutions

作　　者：赵红霞 扎其劳[1] ZHAO Hong-xia;Zhaqilao(Mathematics Science College,Inner Mongolia Normal University,Hohhot 010022,China)

机构地区：[1]内蒙古师范大学数学科学学院,内蒙古呼和浩特010022

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2020年第2期118-122,共5页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11861050,11261037);内蒙古草原英才滚动支持项目(CYYC2011050)。

摘　　要：提出一个二分量b族方程,利用分部理论求得该方程的尖峰孤子解。研究该方程具有统一形式的单尖峰孤子解,并分情况讨论了b在不同取值情况下的二重尖峰孤子解。In the paper,a two-component b family equation was proposed and the peakon solutions of the equation were obtained by using the distribution theory.The solutions with uniform single-peakon of this equation were studied.Meanwhile,the double-peakon solutions under different values of b were discussed respectively.

关 键 词：二分量b族方程 尖峰孤子解 分部理论 

分 类 号：O346.1[理学—固体力学]