Reducing a generalized Davey-Stewartson system to a non-local nonlinear Schrodinger equation
Künye
Eden, A., Erbay, S., & Hacinliyan, I. (2009). Reducing a generalized Davey–Stewartson system to a non-local nonlinear schrödinger equation. Chaos, Solitons and Fractals, 41(2), 688-697. doi:10.1016/j.chaos.2007.11.035Özet
In the present study, we consider a generalized (2 + 1) Davey-Stewartson (GDS) system consisting of a nonlinear Schrodinger (NLS) type equation for the complex amplitude of a short wave and two asymmetrically coupled linear wave equations for long waves propagating in an infinite elastic medium. We obtain integral representation of solutions to the coupled linear wave equations and reduce the GDS system to a NLS equation with non-local terms. Finally, we present localized solutions to the GDS system, decaying in both spatial coordinates, for a special choice of parameters by using the integral representation of solutions to the coupled linear wave equations.
Kaynak
Chaos, Solitons and FractalsCilt
41Sayı
2Koleksiyonlar
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