A sixth-order dual preserving algorithm for the Camassa-Holm equation

DOI10.1016/j.cam.2009.11.023zbMath1185.65185OpenAlexW1979323679MaRDI QIDQ848533

Pao-Hsiung Chiu, Long Lee, Tony Wen-Hann Sheu

Publication date: 4 March 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.11.023

zbMATH Keywords

convergenceHamiltoniansHelmholtz equationCamassa-Holm equationcompletely integrablesixth orderdispersion-relation preservingpeakon-like solutionssymplectic Runge-Kuttatravelling wave problemtwo-step algorithm

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items

Development of a numerical phase optimized upwinding combined compact difference scheme for solving the Camassa-Holm equation with different initial solitary waves ⋮ Solitary Waves and N ‐Particle Algorithms for a Class of Euler–Poincaré Equations ⋮ Numerical solutions to a two-component Camassa-Holm equation ⋮ Local discontinuous Galerkin methods for the two-dimensional Camassa-Holm equation ⋮ On a spectral analysis of scattering data for the Camassa-Holm equation

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