TY - JOUR

T1 - On the phase dependence of the soliton collisions in the Dyachenko-Zakharov envelope equation

AU - Kachulin, Dmitry

AU - Gelash, Andrey

N1 - Publisher Copyright: © Author(s) 2018.

PY - 2018/8/15

Y1 - 2018/8/15

N2 - We study soliton collisions in the Dyachenko-Zakharov equation for the envelope of gravity waves in deep water. The numerical simulations of the soliton interactions revealed several fundamentally different effects when compared to analytical two-soliton solutions of the nonlinear Schrodinger equation. The relative phase of the solitons is shown to be the key parameter determining the dynamics of the interaction. We find that the maximum of the wave field can significantly exceed the sum of the soliton amplitudes. The solitons lose up to a few percent of their energy during the collisions due to radiation of incoherent waves and in addition exchange energy with each other. The level of the energy loss increases with certain synchronization of soliton phases. Each of the solitons can gain or lose the energy after collision, resulting in increase or decrease in the amplitude. The magnitude of the space shifts that solitons acquire after collisions depends on the relative phase and can be either positive or negative.

AB - We study soliton collisions in the Dyachenko-Zakharov equation for the envelope of gravity waves in deep water. The numerical simulations of the soliton interactions revealed several fundamentally different effects when compared to analytical two-soliton solutions of the nonlinear Schrodinger equation. The relative phase of the solitons is shown to be the key parameter determining the dynamics of the interaction. We find that the maximum of the wave field can significantly exceed the sum of the soliton amplitudes. The solitons lose up to a few percent of their energy during the collisions due to radiation of incoherent waves and in addition exchange energy with each other. The level of the energy loss increases with certain synchronization of soliton phases. Each of the solitons can gain or lose the energy after collision, resulting in increase or decrease in the amplitude. The magnitude of the space shifts that solitons acquire after collisions depends on the relative phase and can be either positive or negative.

UR - http://www.scopus.com/inward/record.url?scp=85051743232&partnerID=8YFLogxK

U2 - 10.5194/npg-25-553-2018

DO - 10.5194/npg-25-553-2018

M3 - Article

AN - SCOPUS:85051743232

VL - 25

SP - 553

EP - 563

JO - Nonlinear Processes in Geophysics

JF - Nonlinear Processes in Geophysics

SN - 1023-5809

IS - 3

ER -