摘要
首先介绍了Davey-Stewartson方程、Darboux算子和Lax对的概念,然后利用Darboux变换结合Lax对的方法对Davey-Stewartson方程求解,得到了DSII方程新的周期孤立波解,DSI方程新的双周期解.
We introduce the Davey-Stewartson equations, the Darboux operator and Lax pairs. By using the Darboux transformations and Lax pairs, Davey-Stewartson equations is solved an exact periodic soliton wave solutions and periodic solutions.
作者
胡振华
戴正德
黄晓红
周喜华
石海平
HU Zhen-hua;DAI Zheng-de;HUANG Xiao-hong;ZHOU Xi-hua;SHI Hal-ping(Department of Basic Courses,Guangdong Polytechnic of Environmental Protection Engineering,Foshan 528216,China;School of Mathematics ＆ Statistics,Yunnan University,Kunming 650091,China;Modern Bussiness and Administration Department,Guangdong Construction Polytechnic,Guangzhou 510440,China)
出处
《数学的实践与认识》
北大核心
2018年第16期286-290,共5页
Mathematics in Practice and Theory
基金
国家自然科学基金(11401121)
