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Some results on coupled linear wave equations

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)