TY - JOUR
T1 - Collision of solitons in non-integrable versions of the Degasperis-Procesi model
AU - Omel'yanov, G.
PY - 2020/7/1
Y1 - 2020/7/1
N2 - © 2020 Elsevier Ltd 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.
AB - © 2020 Elsevier Ltd 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.
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U2 - 10.1016/j.chaos.2020.109802
DO - 10.1016/j.chaos.2020.109802
M3 - Article
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
SN - 0960-0779
ER -