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Matematicheskie Zametki, 2016, Volume 100, Issue 6, Pages 911–922
DOI: https://doi.org/10.4213/mzm11373 (Mi mzm11373) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Creation Operators in the Problem of Localized Solutions of the Linearized Shallow Water Equations with Regular and Singular Characteristics

S. A. Sergeevab, A. A. Tolchennikovab

a Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region
b Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow
Full-text PDF (745 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm11373
Abstract: We study the wave part of a localized solution of the linear system of shallow water equations. Given a relationship between initial conditions, the relationship between the corresponding solutions is found.
Keywords: linear hyperbolic system, linearized shallow water equations, localized asymptotic solution, creation operator.
Funding agency Grant number
Russian Science Foundation 16-11-10282
This work was supported by the Russian Science Foundation under grant 16-11-10282.
Received: 01.06.2016
English version:
Mathematical Notes, 2016, Volume 100, Issue 6, Pages 852–861
DOI: https://doi.org/10.1134/S0001434616110250
Bibliographic databases:
Document Type: Article
UDC: 517.955.8
Language: Russian
Citation: S. A. Sergeev, A. A. Tolchennikov, “Creation Operators in the Problem of Localized Solutions of the Linearized Shallow Water Equations with Regular and Singular Characteristics”, Mat. Zametki, 100:6 (2016), 911–922; Math. Notes, 100:6 (2016), 852–861
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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