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Orbital Stability of Standing Waves for the Davey-Stewartson System
ZHU Shihui *
Department of Mathematics, Sichuan Normal University,Chengdu 610066
*Correspondence author
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Funding: National Natural Science Foundation of China（No.Grant No. 11371267）, Research Fund for the Doctoral Program of Higher Education of China（No.Grant No. 20125134120001）
Opened online: 5 October 2014
Accepted by: none
Citation: ZHU Shihui.Orbital Stability of Standing Waves for the Davey-Stewartson System[OL]. [ 5 October 2014] http://en.paper.edu.cn/en_releasepaper/content/4611442
 
 
This paper is concerned with standing waves of the Davey-Stewartson system in $mathbb{R}^2$ by the profile decomposition theory.A precisely condition for the existence of stable standing waves for the Davey-Stewartson system is obtained, which removes the uniqueness assumption of the ground statesin Ohta's results.
Keywords:Davey-Stewartson system; profile decomposition; orbital stability.
 
 
 

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