Two remarks on a generalized Davey-Stewartson system

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Tarih

2006-03-01

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Yayıncı

Elsevier Ltd

Erişim Hakkı

info:eu-repo/semantics/closedAccess

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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
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