期刊
PHYSICS LETTERS A
卷 380, 期 24, 页码 2049-2053出版社
ELSEVIER
DOI: 10.1016/j.physleta.2016.04.023
关键词
Soliton; Soliton gas; Modified Korteweg-de Vries equation; Freak waves
资金
- RFBR [16-35-00175, 16-02-00167, 16-05-00049]
- RSF [16-17-00041]
- Volkswagen Foundation
- Russian Science Foundation [16-17-00041] Funding Source: Russian Science Foundation
Dynamics of random multi-soliton fields within the framework of the modified Korteweg-de Vries equation is considered. Statistical characteristics of a soliton gas (distribution functions and moments) are calculated. It is demonstrated that the results sufficiently depend on the soliton gas properties, i.e., whether it is unipolar or bipolar. It is shown that the properties of a unipolar gas are qualitatively similar to the properties of a KdV gas [Dutykh and Pelinovsky (2014) [1]]: nonlinear interaction leads to an increase in the part of small-amplitude waves and decrease in the third and fourth statistical moments. The dynamics of bipolar soliton fields is more interesting. In this case, kurtosis (the fourth moment) and the part of large-amplitude waves increase during the interaction. It is demonstrated that the freak wave appearance in a soliton gas is possible due to the attraction of large bipolar solitons. (C) 2016 Elsevier B.V. All rights reserved.
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