Numerical solitary wave interaction: the order of the inelastic effect

DOI10.1017/S144618110000794XzbMath1027.35113OpenAlexW2046933411MaRDI QIDQ3146198

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Publication date: 11 September 2002

Published in: The ANZIAM Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s144618110000794x

zbMATH Keywords

numerical simulationsextended Korteweg-de Vries equationinelastic collisionchange in solitary wave amplitudeextended Benjamin-Bona-Mahony equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (4)

Bell polynomials approach for two higher-order KdV-type equations in fluids ⋮ Multiple soliton solutions of the Sawada-Kotera equation with a nonvanishing boundary condition and the perturbed Korteweg de Vries equation by using the multiple exp-function scheme ⋮ Removing trailing tails and delays induced by artificial dissipation in Padé numerical schemes for stable compacton collisions ⋮ Adiabatic perturbations for compactons under dissipation and numerically-induced dissipation

Cites Work

• Unnamed Item
• On integrable systems with higher order corrections
• Numerical study of the regularized long-wave equation. I: Numerical methods
• Overtaking collision between two solitary waves
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• Hamiltonian perturbation theory and water waves
• Soliton interaction for the extended Korteweg-de Vries equation

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