EXACT DARK SOLITON AND ITS PERSISTENCE IN THE PERTURBED(2+1)-DIMENSIONAL DAVEY-STEWARTSON SYSTEM--《微分方程年刊(英文版)》2014年01期

《微分方程年刊(英文版)》 2014-01

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

Jibin Li;Dept.of Math.,Zhejiang Normal University;School of Science,Kunming University of Science and Technology;

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.

【Fund】： supported by the National Natural Science Foundation of China(10831003)
【CateGory Index】： O175

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1	YANG Duo;LOU Sen-Yue;YU Wei-Feng;Faculty of Science, Ningbo University;Shanghai Key Laboratory of Trustworthy Computing, East China Normal University;;Interactions Between Solitons and Cnoidal Periodic Waves of the Boussinesq Equation[J];理论物理通讯(英文版);2013-10
2	ZHANG Cong;ZHANG Zhi-Hai;YANG Shi-Jie;Department of Physics, Beijing Normal University;State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences;;Exact Temporal Evolution of Two-Species Bose–Einstein Condensates[J];理论物理通讯(英文版);2013-11
3	YANG Han~* YANG Ning~* *College of Mathematics,Southwest Jiaotong University,Chengdu 610031, China.;Global Well-Posedness Results for Davey-Stewartson Systems Below the Energy Norm[J];Chinese Annals of Mathematics;2009-05