Abstract and Applied Analysis
Volume 2013 (2013), Article ID 848690, 9 pages
http://dx.doi.org/10.1155/2013/848690
Research Article

Existence of Standing Waves for a Generalized Davey-Stewartson System

Xiaoxiao Hu,1 Xiao-xun Zhou,2 Wu Tunhua,1 and Min-Bo Yang3

1School of Information and Engineering, Wenzhou Medical College, Wenzhou, Zhejiang 325035, China
2School of Marxism, Tongji University, Shanghai 200092, China
3Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, China

Received 13 September 2012; Revised 26 December 2012; Accepted 14 January 2013

Academic Editor: Norimichi Hirano

Copyright © 2013 Xiaoxiao Hu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The purpose of this paper is to investigate the existence of standing waves for a generalized Davey-Stewartson system. By reducing the system to a single Schrödinger equation problem, we are able to establish some existence results for the system by variational methods.