Wave dynamics in nonlinear media with two dispersionless limits for long and short waves

DOI10.1016/S0375-9601(01)00042-1zbMath0972.37052OpenAlexW1999578714MaRDI QIDQ1595790

Efim N. Pelinovsky, Marc Francius, Alexey V. Slunyaev

Publication date: 13 February 2001

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(01)00042-1

zbMATH Keywords

solitary solutionssolitary wave interactionsnonintegrable system

Mathematics Subject Classification ID

Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (8)

Well-posedness of Korteweg-de Vries-Benjamin Bona Mahony equation on a finite domain ⋮ Exponential stability of the linear KdV-BBM equation ⋮ Numerical simulation of a solitonic gas in KdV and KdV-BBM equations ⋮ On the identification of nonlinear terms in the generalized Camassa-Holm equation involving dual-power law nonlinearities ⋮ Long-wave approximations in the description of bottom pressure ⋮ A supersymmetric second modified KdV equation ⋮ Blowing-up solutions of the time-fractional dispersive equations ⋮ On a Nonlinear Problem of the Breaking Water Waves

Cites Work

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• Scattering of regularized-long-wave solitary waves
• Solitary-wave interaction
• Euler operators and conservation laws of the BBM equation
• An integrable shallow water equation with peaked solitons
• Model equations for long waves in nonlinear dispersive systems

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