Existence of Standing Waves for a Generalized  Davey-Stewartson System

Xiaoxiao Hu; Xiao-xun Zhou; Wu Tunhua; Min-Bo Yang

doi:10.1155/2013/848690

Abstract and Applied Analysis (Jan 2013)

Existence of Standing Waves for a Generalized Davey-Stewartson System

Xiaoxiao Hu,
Xiao-xun Zhou,
Wu Tunhua,
Min-Bo Yang

Affiliations

Xiaoxiao Hu: School of Information and Engineering, Wenzhou Medical College, Wenzhou, Zhejiang 325035, China
Xiao-xun Zhou: School of Marxism, Tongji University, Shanghai 200092, China
Wu Tunhua: School of Information and Engineering, Wenzhou Medical College, Wenzhou, Zhejiang 325035, China
Min-Bo Yang: Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, China

DOI: https://doi.org/10.1155/2013/848690
Journal volume & issue: Vol. 2013

Abstract

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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.

Published in Abstract and Applied Analysis

ISSN: 1085-3375 (Print); 1687-0409 (Online)
Publisher: Hindawi Limited
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://www.hindawi.com/journals/aaa/

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