Two remarks on a generalized Davey-Stewartson system

DOI10.1016/j.na.2005.05.052zbMath1091.35088OpenAlexW2050950414MaRDI QIDQ2492417

Gulcin M. Muslu, H. A. Erbay, Alp Eden

Publication date: 9 June 2006

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.05.052

zbMATH Keywords

dispersionnonlinear Schrödinger equationblow-up profileDavey-Stewartson system\(L^{p}\)-stabilitypseudo-conformal invariance

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (9)

On some canonical classes of cubic-quintic nonlinear Schrödinger equations ⋮ Numerical simulation of blow-up solutions for the generalized Davey–Stewartson system ⋮ Closing the gap in the purely elliptic generalized Davey-Stewartson system ⋮ Standing waves for a generalized Davey-Stewartson system: Revisited ⋮ The \(\frac{G'}{G}\) method and 1-soliton solution of the Davey-Stewartson equation ⋮ On the existence of special solutions of the generalized Davey-Stewartson system ⋮ A variable coefficient nonlinear Schrödinger equation with a four-dimensional symmetry group and blow-up ⋮ Symmetry, full symmetry groups, and some exact solutions to a generalized Davey–Stewartson system ⋮ A new criterion and the limit of blowup solutions for a generalized Davey–Stewartson system

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• Global existence and nonexistence results for a generalized Davey–Stewartson system
• The Cauchy problem for nonlinear Schrödinger equation (NLS) with critical nonlinearity
• Existence of pseudo-conformally invariant solutions to the Davey-Stewartson system

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