Adiabatic perturbations for compactons under dissipation and numerically-induced dissipation

DOI10.1016/j.jcp.2009.03.005zbMath1166.65380OpenAlexW2041500650MaRDI QIDQ1025178

Francisco Rus, Francisco R. Villatoro

Publication date: 18 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2009.03.005

zbMATH Keywords

numerical resultsevolution equationsperturbation methodscompactonsadiabatic perturbationsRosenau-Hyman equationdissipative schemesnumerically-induced tails

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Perturbations in context of PDEs (35B20)

Related Items (6)

On the nonlinear perturbation \(K(n, m)\) Rosenau-Hyman equation: a model of nonlinear scattering wave ⋮ Time-stepping in Petrov-Galerkin methods based on cubic B-splines for compactons ⋮ Removing trailing tails and delays induced by artificial dissipation in Padé numerical schemes for stable compacton collisions ⋮ Dissipative perturbations for the \(K(n, n)\) Rosenau-Hyman equation ⋮ A repository of equations with cosine/sine compactons ⋮ Compacton-anticompacton collisions in the Rosenau-Hyman \(K(p,p)\) equation by numerical simulations with hyperviscosity

Cites Work

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• Soliton perturbation theory for the compound KdV equation
• Numerically induced phase shift in the KdV soliton
• The modified equation approach to the stability and accuracy analysis of finite-difference methods
• On the method of modified equations. I: Asymptotic analysis of the Euler forward difference method
• A numerical study of compactons
• Asymptotic analysis of finite difference methods
• A finite difference scheme for the \(K(2,2)\) compacton equation
• Multiple scale and singular perturbation methods
• Self-similar radiation from numerical Rosenau-Hyman compactons
• Padé numerical method for the Rosenau-Hyman compacton equation
• Phase compactons
• Asymptotic analysis of the lattice Boltzmann equation
• Numerical solitary wave interaction: the order of the inelastic effect
• Adiabatic Perturbations of Solitons and Shock Waves
• Compactons: Solitons with finite wavelength
• Soliton interaction for the extended Korteweg-de Vries equation

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