EXACT DARK SOLITON AND ITS PERSISTENCE IN THE PERTURBED(2+1)-DIMENSIONAL DAVEY-STEWARTSON SYSTEM  

作　　者：Jibin Li 

机构地区：[1]Dept.of Math.,Zhejiang Normal University [2]School of Science,Kunming University of Science and Technology

出　　处：《Annals of Differential Equations》2014年第1期15-32,共18页微分方程年刊（英文版）

基　　金：supported by the National Natural Science Foundation of China(10831003)

摘　　要：For the Davey-Stewartson system, the exact dark solitary wave solutions, solitary wave solutions, kink wave solution and periodic wave solutions are studied. To guarantee the existence of the above solutions, all parameter conditions are determined. The persistence of dark solitary wave solutions to the perturbed Davey-Stewartson system is proved.For the Davey-Stewartson system, the exact dark solitary wave solutions, solitary wave solutions, kink wave solution and periodic wave solutions are studied. To guarantee the existence of the above solutions, all parameter conditions are determined. The persistence of dark solitary wave solutions to the perturbed Davey-Stewartson system is proved.

关 键 词：Davey-Stewartson system singular traveling wave equation dark solitary wave solution kink wave solution periodic wave solution exact explicit solution 

分 类 号：O175[理学—数学]