Collision of solitons in non-integrable versions of the Degasperis-Procesi model

Omel’yanov, G.

Chaos, Solitons & Fractals, 2020, vol. 136, issue C

Abstract: The general Degasperis-Prosesi equation (gDP) describes the evolution of the water surface in a unidirectional shallow water approximation. We consider essentially non-integrable versions of this model and construct a weak two-phase asymptotic solution for describing soliton collisions. The main result is that, under certain assumptions, solitons with positive amplitudes collide almost elastically.

Keywords: General Degasperis-Procesi model; Soliton; Interaction; Elastic collisio (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:136:y:2020:i:c:s0960077920302046

DOI: 10.1016/j.chaos.2020.109802

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