Integrability and Solutions of the(2+1)-dimensional Hunter–Saxton Equation

被引：0
|
作者：
蔡红柳 [1 ]
屈长征 [1 ]
机构：
[1] Center for Nonlinear Studies,Ningbo University
来源：
CommunicationsinTheoreticalPhysics | 2016年 / 65卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Hunter–Saxton equation; singular solution; μ-Hunter–Saxton equation; peaked traveling wave solution;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
In this paper,the(2+1)-dimensional Hunter-Saxton equation is proposed and studied.It is shown that the(2+1)-dimensional Hunter–Saxton equation can be transformed to the Calogero–Bogoyavlenskii–Schiff equation by reciprocal transformations.Based on the Lax-pair of the Calogero–Bogoyavlenskii–Schiff equation,a non-isospectral Lax-pair of the(2+1)-dimensional Hunter–Saxton equation is derived.In addition,exact singular solutions with a finite number of corners are obtained.Furthermore,the(2+1)-dimensional μ-Hunter–Saxton equation is presented,and its exact peaked traveling wave solutions are derived.
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页码：397 / 404
页数：8
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