On travelling wave solutions of a generalized Davey-Stewartson system
Yükleniyor...
Dosyalar
Tarih
2005-02
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Oxford Univ Press
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The generalized Davey-Stewartson (GDS) equations, as derived by Babaoglu & Erbay (2004, Int. J. Non-Linear Mech., 39, 941-949), is a system of three coupled equations in (2 + 1) dimensions modelling wave propagation in an infinite elastic medium. The physical parameters (gamma, m(1), m(2), lambda and n) of the system allow one to classify the equations as elliptic-elliptic-elliptic (EEE), elliptic-elliptic-hyperbolic (EEH), elliptic-hyperbolic-hyperbolic (EHH), hyperbolic-elliptic-elliptic (HEE), hyperbolic-hyperbolic-hyperbolic (HHH) and hyperbolic-elliptic-hyperbolic (HEH) (Babaoglu et al., 2004, preprint). In this note, we only consider the EEE and HEE cases and seek travelling wave solutions to GDS systems. By deriving Pohozaev-type identities we establish some necessary conditions on the parameters for the existence of travelling waves, when solutions satisfy some integrability conditions. Using the explicit solutions given in Babaoglu & Erbay (2004) we also show that the parameter constraints must be weaker in the absence of such integrability conditions.
Açıklama
Anahtar Kelimeler
Packets, Equation, Soliton, Davey-Stewartson equations, Nonlinear Schrodinger equation, Pohozaev identity, Radial solutions, Travelling wave, Integral equations, Mathematical models, Nonlinear equations, Wave propagation, Elasticity
Kaynak
IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
WoS Q Değeri
Q3
Scopus Q Değeri
Q3
Cilt
70
Sayı
1
Künye
Eden, A. & Erbay, S. (2005; 2004). On travelling wave solutions of a generalized davey-stewartson system. IMA Journal of Applied Mathematics (Institute of Mathematics and its Applications), 70(1), 15-24. doi:10.1093/imamat/hxh050
