Please use this identifier to cite or link to this item:
https://elib.bsu.by/handle/123456789/116849
Title: | Asymptotics for a C1-version of the KdV Equation |
Authors: | Omel’yanov, G. A. Valdez-Grijalva, M. A. |
Keywords: | ЭБ БГУ::ЕСТЕСТВЕННЫЕ И ТОЧНЫЕ НАУКИ::Математика |
Issue Date: | 2014 |
Year of record: | 2014 |
Publisher: | Minsk : Education and Upbringing |
Citation: | Nonlinear Phenomena in Complex Systems. - 2014. - Vol. 17, N 2. - P.106-115 |
Abstract: | We consider KdV-type equations with nonlinearities u , κ ∈ (1, 5), and small dispersion ε. The first result consists in the conclusion that, in the leading term with respect to ε, the solitary waves in this model interact like KdV solitons. Next it turned out that there exists a very interesting scenario of instability in which the short-wave soliton remains stable whereas a small long-wave part, generated by perturbations of original equation, turns to be unstable, growing and destroying the leading term. At the same time, such perturbation can eliminate the collision of solitons. Numerical simulations confirming the results are also presented. |
URI: | http://elib.bsu.by/handle/123456789/116849 |
ISSN: | 1561-4085 |
Licence: | info:eu-repo/semantics/restrictedAccess |
Appears in Collections: | 2014. Volume 17. Number 2 |
Files in This Item:
File | Description | Size | Format | |
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v17no2p106.pdf | 36,86 MB | Adobe PDF | View/Open |
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