Numerical simulation of blow-up solutions for the generalized Davey–Stewartson system

DOI10.1080/00207161003768380zbMath1213.35141OpenAlexW1986424542MaRDI QIDQ2995479

H. A. Erbay, Gulcin M. Muslu

Publication date: 21 April 2011

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207161003768380

zbMATH Keywords

split-step Fourier method

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Theoretical approximation in context of PDEs (35A35) 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 (4)

A time-splitting Galerkin finite element method for the Davey-Stewartson equations ⋮ Numerical study of blow-up to the purely elliptic generalized Davey-Stewartson system ⋮ Galerkin methods for the Davey-Stewartson equations ⋮ A new criterion and the limit of blowup solutions for a generalized Davey–Stewartson system

Cites Work

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• A split-step Fourier method for the complex modified Korteweg-de Vries equation.
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• Two remarks on a generalized Davey-Stewartson system
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• Splitting methods
• Global existence and nonexistence results for a generalized Davey–Stewartson system
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• Numerical study of the Davey-Stewartson system

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