A numerical study of the semi‐classical limit for three‐coupled long wave–short wave interaction equations

DOI10.1002/NUM.22335zbMath1418.76040OpenAlexW2902249686MaRDI QIDQ5227294

Emine Kesici, Gulcin M. Muslu, Goksu Oruc

Publication date: 25 July 2019

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22335

zbMATH Keywords

semi-classical limitsemi-discrete schemesplit-step Fourier methodlong wave-short wave interaction equationsmeshing strategy

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Spectral methods applied to problems in fluid mechanics (76M22) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical methods for discrete and fast Fourier transforms (65T50) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

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