Existence of Standing Waves for a Generalized Davey-Stewartson System

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.

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Main Authors: Xiaoxiao Hu, Xiao-xun Zhou, Wu Tunhua, Min-Bo Yang
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/848690
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author Xiaoxiao Hu
Xiao-xun Zhou
Wu Tunhua
Min-Bo Yang
author_facet Xiaoxiao Hu
Xiao-xun Zhou
Wu Tunhua
Min-Bo Yang
author_sort Xiaoxiao Hu
collection DOAJ
description 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.
format Article
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-411b30479a974a7cab5d1de178b954e22025-02-03T05:46:50ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/848690848690Existence of Standing Waves for a Generalized Davey-Stewartson SystemXiaoxiao Hu0Xiao-xun Zhou1Wu Tunhua2Min-Bo Yang3School of Information and Engineering, Wenzhou Medical College, Wenzhou, Zhejiang 325035, ChinaSchool of Marxism, Tongji University, Shanghai 200092, ChinaSchool of Information and Engineering, Wenzhou Medical College, Wenzhou, Zhejiang 325035, ChinaDepartment of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, ChinaThe 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.http://dx.doi.org/10.1155/2013/848690
spellingShingle Xiaoxiao Hu
Xiao-xun Zhou
Wu Tunhua
Min-Bo Yang
Existence of Standing Waves for a Generalized Davey-Stewartson System
Abstract and Applied Analysis
title Existence of Standing Waves for a Generalized Davey-Stewartson System
title_full Existence of Standing Waves for a Generalized Davey-Stewartson System
title_fullStr Existence of Standing Waves for a Generalized Davey-Stewartson System
title_full_unstemmed Existence of Standing Waves for a Generalized Davey-Stewartson System
title_short Existence of Standing Waves for a Generalized Davey-Stewartson System
title_sort existence of standing waves for a generalized davey stewartson system
url http://dx.doi.org/10.1155/2013/848690
work_keys_str_mv AT xiaoxiaohu existenceofstandingwavesforageneralizeddaveystewartsonsystem
AT xiaoxunzhou existenceofstandingwavesforageneralizeddaveystewartsonsystem
AT wutunhua existenceofstandingwavesforageneralizeddaveystewartsonsystem
AT minboyang existenceofstandingwavesforageneralizeddaveystewartsonsystem