On the development of a high-order compact scheme for exhibiting the switching and dissipative solution natures in the Camassa-Holm equation

DOI10.1016/j.jcp.2011.03.043zbMath1419.76484OpenAlexW2106225116MaRDI QIDQ550963

Pao-Hsiung Chiu, Tony Wen-Hann Sheu, Ching-Hao Yu

Publication date: 13 July 2011

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2011.03.043

zbMATH Keywords

Camassa-Holm equationsymplecticityconservation of Hamiltoniansdissipative scenariofifth-order spatially accuratelong-term accuratepeakon-antipeakonpeakon-peakonswitching scenario

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Solitary waves for incompressible inviscid fluids (76B25)

Related Items (8)

Dynamics of solutions in the generalized Benjamin-Ono equation: a numerical study ⋮ Development of a numerical phase optimized upwinding combined compact difference scheme for solving the Camassa-Holm equation with different initial solitary waves ⋮ Numerical solutions to a two-component Camassa-Holm equation ⋮ Arbitrarily High-Order Energy-Preserving Schemes for the Camassa-Holm Equation Based on the Quadratic Auxiliary Variable Approach ⋮ Numerical study of long-time Camassa-Holm solution behavior for soliton transport ⋮ A three‐level linearized finite difference scheme for the camassa–holm equation ⋮ Linear and Hamiltonian-conserving Fourier pseudo-spectral schemes for the Camassa-Holm equation ⋮ On a spectral analysis of scattering data for the Camassa-Holm equation

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