On a Whitham-Type Equation

The Hunter-Saxton equation and the Gurevich-Zybin system are considered as two mutually non-equivalent representations of one and the same Whitham-type equation, and all their common solutions are obtained exactly.

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Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2009
1. Verfasser: Sakovich, S.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 2009
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/149083
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:On a Whitham-Type Equation / S. Sakovich // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 21 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
id nasplib_isofts_kiev_ua-123456789-149083
record_format dspace
spelling Sakovich, S.
2019-02-19T17:06:32Z
2019-02-19T17:06:32Z
2009
On a Whitham-Type Equation / S. Sakovich // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 21 назв. — англ.
1815-0659
2000 Mathematics Subject Classification: 35Q58; 35C05
https://nasplib.isofts.kiev.ua/handle/123456789/149083
The Hunter-Saxton equation and the Gurevich-Zybin system are considered as two mutually non-equivalent representations of one and the same Whitham-type equation, and all their common solutions are obtained exactly.
The author is deeply grateful to Professor E.V. Ferapontov and Professor M.V. Pavlov for pointing out the origin of the system (3), to the referees for their useful suggestions, and to the Max-Planck-Institut f¨ur Mathematik for hospitality and support.
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
On a Whitham-Type Equation
Article
published earlier
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title On a Whitham-Type Equation
spellingShingle On a Whitham-Type Equation
Sakovich, S.
title_short On a Whitham-Type Equation
title_full On a Whitham-Type Equation
title_fullStr On a Whitham-Type Equation
title_full_unstemmed On a Whitham-Type Equation
title_sort on a whitham-type equation
author Sakovich, S.
author_facet Sakovich, S.
publishDate 2009
language English
container_title Symmetry, Integrability and Geometry: Methods and Applications
publisher Інститут математики НАН України
format Article
description The Hunter-Saxton equation and the Gurevich-Zybin system are considered as two mutually non-equivalent representations of one and the same Whitham-type equation, and all their common solutions are obtained exactly.
issn 1815-0659
url https://nasplib.isofts.kiev.ua/handle/123456789/149083
citation_txt On a Whitham-Type Equation / S. Sakovich // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 21 назв. — англ.
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