NUMERICAL STUDY OF ELLIPTIC-HYPERBOLIC DAVEY–STEWARTSON SYSTEM: DROMIONS SIMULATION AND BLOW-UP
From MaRDI portal
Publication:4270549
DOI10.1142/S0218202598000640zbMath0940.76044OpenAlexW2053216748MaRDI QIDQ4270549
Christophe Besse, Charles-Henri Bruneau
Publication date: 22 November 1999
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218202598000640
finite difference schemeCrank-Nicolson schemeDavey-Stewartson equationsblow-up solutionsphase errordromion 1-1dromion 2-2elliptic hyperbolic system
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Finite difference methods applied to problems in fluid mechanics (76M20)
Related Items
Collapse in coupled nonlinear Schrödinger equations: sufficient conditions and applications ⋮ Numerical study of the Davey-Stewartson system ⋮ Numerical study of Davey–Stewartson I systems ⋮ A numerical study of variable depth KdV equations and generalizations of Camassa-Holm-like equations ⋮ Numerical study of blow-up to the purely elliptic generalized Davey-Stewartson system ⋮ A numerical study of the long-wave short-wave resonance for 3D water waves ⋮ IST Versus PDE: A Comparative Study ⋮ On the Korteweg-de Vries approximation for uneven bottoms ⋮ Localised coherent solutions of the DSI and DSII equations -- a numerical study ⋮ A numerical approach to Blow-up issues for Davey-Stewartson II systems ⋮ Remarks on the full dispersion Davey-Stewartson systems ⋮ Asymptotic shallow water models with non smooth topographies
