Weakly damped KdV soliton dynamics with the random force

N. Zahibo, E. Pelinovsky and A. Sergeeva

Chaos, Solitons & Fractals, 2009, vol. 39, issue 4, 1645-1650

Abstract: The soliton dynamics in the random field is studied in the framework of the Korteweg–de Vries–Burgers equation. Asymptotic solution of this equation with weak dissipation is found and the average wave field is analyzed. All formulas can be given explicitly for the uniform (table-top) distribution function of the random field. Weakly damped KdV soliton on large times transforms to the “thick” soliton or KdV-like soliton depending from the statistical properties of the force. New scenario of KdV soliton transformation into the thick soliton and then again in KdV-like soliton is predicted for certain conditions.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:39:y:2009:i:4:p:1645-1650

DOI: 10.1016/j.chaos.2007.06.032

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