Reducing a generalized Davey-Stewartson system to a non-local nonlinear Schrodinger equation
Yükleniyor...
Dosyalar
Tarih
2009-07-30
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
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.
Açıklama
Anahtar Kelimeler
2 spatial dimensions, Evolution equations, Couple-stresses, Packets, Waves, Choice of parameters, Complex amplitude, Dinger equation, Elastic medium, Integral representation, Linear wave equation, Localized solutions, Long waves, NLS equations, Nonlinear equations, Nonlinear Schrödinger equation, Nonlocal, Schrödinger equation, Semilinear wave, Short waves, Spatial coordinates, Submarine geophysics, Wave equations, Integral equations, Davey stewartson
Kaynak
Chaos, Solitons and Fractals
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
41
Sayı
2
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.2007.11.035
