Two-soliton interaction as an elementary act of soliton turbulence in integrable systems

E. N. Pelinovsky, E. G. Shurgalina, A. V. Sergeeva, T. G. Talipova, G. A. El*, R. H.J. Grimshaw

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

40 Citations (Scopus)
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Abstract

Two-soliton interactions play a definitive role in the formation of the structure of soliton turbulence in integrable systems. To quantify the contribution of these interactions to the dynamical and statistical characteristics of the nonlinear wave field of soliton turbulence we study properties of the spatial moments of the two-soliton solution of the Korteweg-de Vries (KdV) equation. While the first two moments are integrals of the KdV evolution, the 3rd and 4th moments undergo significant variations in the dominant interaction region, which could have strong effect on the values of the skewness and kurtosis in soliton turbulence.

Original languageEnglish
Pages (from-to)272-275
Number of pages4
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume377
Issue number3-4
Early online date19 Nov 2012
DOIs
Publication statusPublished - 3 Jan 2013
Externally publishedYes

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