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

Dmitry Kachulin, Andrey Gelash

Результат исследования: Научные публикации в периодических изданияхстатья

4 Цитирования (Scopus)

Аннотация

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.

Язык оригиналаанглийский
Страницы (с-по)553-563
Число страниц11
ЖурналNonlinear Processes in Geophysics
Том25
Номер выпуска3
DOI
СостояниеОпубликовано - 15 авг 2018

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