On the phase dependence of the soliton collisions in the Dyachenko–Zakharov envelope equation
<p>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 Schrod...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Copernicus Publications
2018-08-01
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| Series: | Nonlinear Processes in Geophysics |
| Online Access: | https://www.nonlin-processes-geophys.net/25/553/2018/npg-25-553-2018.pdf |
| Summary: | <p>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.</p> |
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| ISSN: | 1023-5809 1607-7946 |