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Some results on coupled linear wave equations
Author(s) -
Eden Alp,
Erbay Saadet,
Hacinliyan Irma
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700291
Subject(s) - representation (politics) , nonlinear system , mathematics , wave equation , mathematical analysis , system of linear equations , type (biology) , physics , quantum mechanics , geology , law , politics , political science , paleontology
In the present study, we consider a generalized Davey‐Stewartson (GDS) system consisting of a nonlinear Schrödinger (NLS) type equation and two asymmetrically coupled linear wave equations. We obtain integral representation of solutions to the coupled linear wave equations. As applications, we present some localized solutions to the GDS system for a special choice of parameters and find some estimates of the solutions. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)