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Title: Crochet de Jacobi non local sur un revêtement et ses applications à l’étude de l’équation de Burgers (French)
Title: Nonlocal Jacobi bracket on a covering and its application to the study of the Burgers equation (English)
Author: Benyounes, Michèle
Language: French
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 47
Issue: 3
Year: 1997
Pages: 505-510
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Category: math
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MSC: 35A30
MSC: 58F07
MSC: 58J70
idZBL: Zbl 0901.58068
idMR: MR1461429
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Date available: 2009-09-24T10:07:52Z
Last updated: 2020-07-03
Stable URL: http://hdl.handle.net/10338.dmlcz/127374
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Reference: [1] I. S. Akhatov, R. K. Gazizov et N. Kh. Ibragimov: Bäcklund transformations and non local symmetries.Soviet. Math. Dokl. 36, 3 (1988), 393–395. MR 0916922
Reference: [2] G. W. Bluman et S. Kumei: Symmetry based algorithms to relate partial differential equations: II. Linearization by non local symmetries.Euro. Jnl. of Applied Mathematics 1 (1990), 217–223. MR 1117350, 10.1017/S0956792500000188
Reference: [3] N. G. Khor’kova: Conservation laws and non local symmetries.Math. Notes translated from Mathematicheskie Zametki 44 (1988), 134–144. MR 0962383
Reference: [4] A. M. Vinogradov et I. S. Krasil’shchik: Non local trends in the geometry of differential equations: Symmetries, conservation laws and Bäcklund transformations.Acta Applicandae Mathematicae 15 (1989), 161–209. MR 1007347, 10.1007/BF00131935
Reference: [5] A. M. Vinogradov et I. S. Krasil’shchik: Nonlocal symmetries and the theory of coverings.Acta Applicandae Mathematicae 2 (1984), 79–96. MR 0736873, 10.1007/BF01405492
Reference: [6] A. M. Vinogradov, I. S. Krasil’shchik et Lychagin: Geometry of Jet Spaces and Non-linear Partial Differential Equations.Gordon and Breach, 1986.
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