On Invariant-Preserving Finite Difference Schemes for the Camassa-Holm Equation and the Two-Component Camassa-Holm System

DOI10.4208/cicp.130115.110915azbMath1388.65059OpenAlexW2342255021MaRDI QIDQ5372492

Publication date: 27 October 2017

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

Full work available at URL: https://doi.org/10.4208/cicp.130115.110915a

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Soliton equations (35Q51)

Related Items (8)

A numerical study of variational discretizations of the Camassa-Holm equation ⋮ Linearly Implicit Invariant-Preserving Decoupled Difference Scheme For The Rotation-Two-Component Camassa--Holm System ⋮ Error estimates of invariant-preserving difference schemes for the rotation-two-component Camassa-Holm system with small energy ⋮ A high-order linearly implicit energy-preserving Partitioned Runge-Kutta scheme for a class of nonlinear dispersive equations ⋮ Finite-Volume-Particle Methods for the Two-Component Camassa-Holm System ⋮ A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations ⋮ Local discontinuous Galerkin methods for the two-dimensional Camassa-Holm equation ⋮ An Invariant Preserving Discontinuous Galerkin Method for the Camassa--Holm Equation

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