On the development of a high-order compact scheme for exhibiting the switching and dissipative solution natures in the Camassa-Holm equation
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Publication:550963
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
Camassa-Holm equationsymplecticityconservation of Hamiltoniansdissipative scenariofifth-order spatially accuratelong-term accuratepeakon-antipeakonpeakon-peakonswitching scenario
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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