Two remarks on a generalized Davey-Stewartson system

A. Eden; H. A. Erbay; G. M. Muslu

doi:10.1016/j.na.2005.05.052

Two remarks on a generalized Davey-Stewartson system

A. Eden, H. A. Erbay, G. M. Muslu^*

^*Corresponding author for this work

Department of Mathematics Engineering

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

Abstract

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 Lp-norms of the solutions decay to zero algebraically in time for 2<p<∞.

Original language	English
Pages (from-to)	979-986
Number of pages	8
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	64
Issue number	5
DOIs	https://doi.org/10.1016/j.na.2005.05.052
Publication status	Published - 1 Mar 2006

Keywords

Blow-up profile
Davey-Stewartson system
L -stability
Nonlinear Schrödinger equation
Pseudo-conformal invariance

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10.1016/j.na.2005.05.052

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T1 - Two remarks on a generalized Davey-Stewartson system

AU - Eden, A.

AU - Erbay, H. A.

AU - Muslu, G. M.

PY - 2006/3/1

Y1 - 2006/3/1

N2 - 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 Lp-norms of the solutions decay to zero algebraically in time for 2

AB - 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 Lp-norms of the solutions decay to zero algebraically in time for 2

KW - Blow-up profile

KW - Davey-Stewartson system

KW - L -stability

KW - Nonlinear Schrödinger equation

KW - Pseudo-conformal invariance

UR - http://www.scopus.com/inward/record.url?scp=30144435512&partnerID=8YFLogxK

U2 - 10.1016/j.na.2005.05.052

DO - 10.1016/j.na.2005.05.052

M3 - Article

AN - SCOPUS:30144435512

SN - 0362-546X

VL - 64

SP - 979

EP - 986

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 5

ER -

Two remarks on a generalized Davey-Stewartson system

Abstract

Keywords

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