Two remarks on a generalized Davey-Stewartson system
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Dosyalar
Tarih
2006-03-01
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We present two results on a generalized Davey-Stewartson system, both following from the pseudo-conformal invariance of its solutions. In the hyperbolic-elliptic-elliptic case, under some conditions on the physical parameters, we establish a blow-up profile. These conditions turn out to be necessary conditions for the existence of a special '' radial '' solution. In the elliptic-elliptic-elliptic case, under milder conditions, we show the L-P-norms of the solutions decay to zero algebraically in time for 2 < p < infinity.
Açıklama
Anahtar Kelimeler
Pseudo-conformal invariance, Davey-Stewartson system, Blow-up profile, LP-stability, Nonlinear Schrodinger equation, Schrodinger-equations, Nonlinear equations, Nonlinear systems
Kaynak
Nonlinear Analysis, Theory, Methods and Applications
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
64
Sayı
5
Künye
Eden, A., Erbay, H. A. & Muslu, G. M. (2006). Two remarks on a generalized Davey–Stewartson system. Nonlinear Analysis, Theory, Methods and Applications, 64(5), 979-986. doi:10.1016/j.na.2005.05.052
