Please use this identifier to cite or link to this item: http://elar.urfu.ru/handle/10995/93098
Title: Dispersive Rarefaction Wave With A Large Initial Gradient
Authors: Elbert, A. E.
Zakharov, S. V.
Issue Date: 2017
Publisher: N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences
Ural Federal University named after the first President of Russia B.N. Yeltsin
Citation: Elbert A. E. Dispersive Rarefaction Wave With A Large Initial Gradient / A. E. Elbert, S. V. Zakharov. — DOI 10.15826/umj.2017.1.002. — Text : electronic // Ural Mathematical Journal. — 2017. — Volume 3. — № 1. — P. 33-43.
Abstract: Consider the Cauchy problem for the Korteweg-de Vries equation with a small parameter at the highest derivative and a large gradient of the initial function. Numerical and analytical methods show that the obtained using renormalization formal asymptotics, corresponding to rarefaction waves, is an asymptotic solution of the KdV equation. The graphs of the asymptotic solutions are represented, including the case of non-monotonic initial data.
Keywords: THE KORTEWEG--DE VRIES
CAUCHY PROBLEM
ASYMPTOTIC BEHAVIOR
RAREFACTION WAVE
URI: http://elar.urfu.ru/handle/10995/93098
Access: Creative Commons Attribution License
License text: https://creativecommons.org/licenses/by/4.0/
ISSN: 2414-3952
DOI: 10.15826/umj.2017.1.002
metadata.dc.description.sponsorship: This research was supported by RFBR grant No.14-01-00322.
Origin: Ural Mathematical Journal. 2017. Volume 3. № 1
Appears in Collections:Ural Mathematical Journal

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