Numerical study of blow-up in the Davey-Stewartson system

DOI10.3934/dcdsb.2013.18.1361zbMath1283.35085arXiv1112.4043OpenAlexW2963868392MaRDI QIDQ378985

Kristelle Roidot, Christian Klein, Benson K. Muite

Publication date: 12 November 2013

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.4043

zbMATH Keywords

blow-upparallel computingDavey-Stewartson systemssplit stepstability of exact solutions

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Parallel numerical computation (65Y05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Blow-up in context of PDEs (35B44)

Related Items (11)

A time-splitting Galerkin finite element method for the Davey-Stewartson equations ⋮ Variable coefficient Davey-Stewartson system with a Kac-Moody-Virasoro symmetry algebra ⋮ Soliton solutions and their (in)stability for the focusing Davey–Stewartson II equation ⋮ Adaptivity and Blow-Up Detection for Nonlinear Evolution Problems ⋮ Numerical study of Davey–Stewartson I systems ⋮ High precision numerical approach for Davey–Stewartson II type equations for Schwartz class initial data ⋮ Galerkin methods for the Davey-Stewartson equations ⋮ IST Versus PDE: A Comparative Study ⋮ On a class of derivative Nonlinear Schrödinger-type equations in two spatial dimensions ⋮ A numerical approach to Blow-up issues for Davey-Stewartson II systems ⋮ Remarks on the full dispersion Davey-Stewartson systems

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