A conservative spectral method for several two-dimensional nonlinear wave equations

DOI10.1006/jcph.1999.6286zbMath0937.65108OpenAlexW2097161346MaRDI QIDQ1819038

Taketomo Mitsui, Takuji Kawahara, Bao-Feng Feng

Publication date: 17 May 2000

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.1999.6286

zbMATH Keywords

stabilitynumerical experimentsfast Fourier transformKP equationspectral methodZK equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

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A Class of Adaptive Multiresolution Ultra-Weak Discontinuous Galerkin Methods for Some Nonlinear Dispersive Wave Equations ⋮ The multi-symplectic Fourier pseudospectral method for solving two-dimensional Hamiltonian PDEs ⋮ Discrete breathers in two-dimensional nonlinear lattices ⋮ Numerical study of oscillatory regimes in the Kadomtsev-Petviashvili equation ⋮ Interactions of two co-propagating laser beams in underdense plasmas using a generalized peaceman-Rachford ADI form ⋮ Local discontinuous Galerkin methods for two classes of two-dimensional nonlinear wave equa\-tions ⋮ Cylindrical solitary pulses in a two-dimensional stabilized Kuramoto-Sivashinsky system

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