Loughborough University
Leicestershire, UK
LE11 3TU
+44 (0)1509 263171
Loughborough University

Loughborough University Institutional Repository

Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/16948

Title: Two-soliton interaction as an elementary act of soliton turbulence in integrable systems
Authors: Pelinovsky, Efim N.
Shurgalina, E.G.
Sergeeva, A.V.
Talipova, Tatiana G.
El, G.A.
Grimshaw, Roger H.J.
Keywords: KdV equation
Issue Date: 2013
Publisher: © Elsevier
Citation: PELINOVSKY, E.N. ... et al, 2013. Two-soliton interaction as an elementary act of soliton turbulence in integrable systems. Physics Letters A, 377 (3-4), pp.272-275.
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.
Description: This is the author’s version of a work that was accepted for publication in Physics Letters A. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published at: http://dx.doi.org/10.1016/j.physleta.2012.11.037
Version: Accepted for publication
DOI: 10.1016/j.physleta.2012.11.037
URI: https://dspace.lboro.ac.uk/2134/16948
Publisher Link: http://dx.doi.org/10.1016/j.physleta.2012.11.037
ISSN: 0375-9601
Appears in Collections:Published Articles (Maths)

Files associated with this item:

File Description SizeFormat
2-Soliton_turbulence-PLA_revision.pdfAccepted version166.34 kBAdobe PDFView/Open


SFX Query

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.