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 |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
umj_2017_3_1_33-43.pdf | 264,52 kB | Adobe PDF | View/Open |
This item is licensed under a Creative Commons License