Interacting localized waves for the regularized long wave equation via a Galerkin spectral method

DOI10.1016/j.matcom.2005.01.004zbMath1073.65102OpenAlexW2014868183MaRDI QIDQ2486237

Christo I. Christov, Marios A. Christou

Publication date: 5 August 2005

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2005.01.004

zbMATH Keywords

stabilityconvergencecomparison of methodsfinite difference methodnumerical examplesGalerkin spectral methodLocalized wavesRegularized long wave equation

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) 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) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (7)

Initial-value problem for coupled Boussinesq equations and a hierarchy of Ostrovsky equations ⋮ High-order conservative Crank-Nicolson scheme for regularized long wave equation ⋮ Fourier-Galerkin method for 2D solitons of Boussinesq equation ⋮ Nonlinear waves in electromigration dispersion in a capillary ⋮ 2D solitons in Boussinesq equation with dissipation ⋮ Large-degree asymptotics and exponential asymptotics for Fourier, Chebyshev and Hermite coefficients and Fourier transforms ⋮ Identification of solitary-wave solutions as an inverse problem: application to shapes with oscillatory tails

Cites Work

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• A Fourier-Series Method for Solving Soliton Problems
• INELASTIC INTERACTION OF BOUSSINESQ SOLITONS
• A Complete Orthonormal System of Functions in $L^2 ( - \infty ,\infty )$ Space
• Model equations for long waves in nonlinear dispersive systems
• An energy-consistent dispersive shallow-water model.

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