Numerical study of blow-up to the purely elliptic generalized Davey-Stewartson system

DOI10.1016/j.cam.2016.12.003zbMath1358.35175OpenAlexW2561669971MaRDI QIDQ508004

Gulcin M. Muslu

Publication date: 9 February 2017

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2016.12.003

zbMATH Keywords

blow-upglobal existencerelaxation methodgeneralized Davey-Stewartson systemplane wave stability

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44)

Related Items

Low-regularity integrator for the Davey-Stewartson system: elliptic-elliptic case ⋮ Lie symmetry analysis and conservation law of variable-coefficient Davey-Stewartson equation ⋮ CAUCHY PROBLEM FOR THE GENERALIZED DAVEY-STEWARTSON SYSTEMS IN BESOV SPACES AND SOME COUNTEREXAMPLES

Cites Work

• A numerical study of the long wave--short wave interaction equations
• Two-dimensional wave packets in an elastic solid with couple stresses
• Closing the gap in the purely elliptic generalized Davey-Stewartson system
• New self-similar solutions of the nonlinear Schrödinger equation with moving mesh computations
• An iterative grid redistribution method for singular problems in multiple dimensions
• New singular solutions of the nonlinear Schrödinger equation
• Numerical simulation of blow-up solutions for the generalized Davey–Stewartson system
• Focusing and defocusing cases of the purely elliptic generalized Davey-Stewartson system
• Schéma de relaxation pour l'équation de Schrödinger non linéaire et les systèmes de Davey et Stewartson
• NUMERICAL STUDY OF ELLIPTIC-HYPERBOLIC DAVEY–STEWARTSON SYSTEM: DROMIONS SIMULATION AND BLOW-UP
• A Relaxation Scheme for the Nonlinear Schrödinger Equation
• Global existence and nonexistence results for a generalized Davey–Stewartson system
• On three-dimensional packets of surface waves
• Plane wave stability of some conservative schemes for the cubic Schrödinger equation

This page was built for publication: Numerical study of blow-up to the purely elliptic generalized Davey-Stewartson system