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Teoreticheskaya i Matematicheskaya Fizika, 2004, Volume 139, Number 1, Pages 62–76
DOI: https://doi.org/10.4213/tmf39 (Mi tmf39) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Calculation of Integrals of the Hugoniot–Maslov Chain for Singular Vortical Solutions of the Shallow-Water Equation

S. Yu. Dobrokhotova, E. S. Semenova, B. Tirozzib

a A. Ishlinsky Institite for Problems in Mechanics, Russian Academy of Sciences
b University of Rome "La Sapienza"
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DOI: https://doi.org/10.4213/tmf39
Abstract: We discuss the problems of the Hugoniot–Maslov chain integrability for singular vortical solutions of the shallow-water equations on the β plane. We show that the complex variables used to derive the chain automatically give most of the integrals of the complete and the truncated chains. We also study how some of these integrals are related to the Lagrangian invariant (potential vorticity). We discuss how to choose solutions of the chain that can be used to describe the actual trajectories of tropical cyclones.
Keywords: singular vortical solutions, trajectories, shallow water, integrals, chains.
English version:
Theoretical and Mathematical Physics, 2004, Volume 139, Issue 1, Pages 500–512
DOI: https://doi.org/10.1023/B:TAMP.0000022742.45549.22
Bibliographic databases:
Language: Russian
Citation: S. Yu. Dobrokhotov, E. S. Semenov, B. Tirozzi, “Calculation of Integrals of the Hugoniot–Maslov Chain for Singular Vortical Solutions of the Shallow-Water Equation”, TMF, 139:1 (2004), 62–76; Theoret. and Math. Phys., 139:1 (2004), 500–512
Citation in format AMSBIB
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\paper Calculation of Integrals of the Hugoniot--Maslov Chain for Singular Vortical Solutions of the Shallow-Water Equation
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\yr 2004
\vol 139
\issue 1
\pages 62--76
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\transl
\jour Theoret. and Math. Phys.
\yr 2004
\vol 139
\issue 1
\pages 500--512
\crossref{https://doi.org/10.1023/B:TAMP.0000022742.45549.22}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000221534000005}
Linking options:
  • https://www.mathnet.ru/eng/tmf39
  • https://doi.org/10.4213/tmf39
  • https://www.mathnet.ru/eng/tmf/v139/i1/p62
    • This publication is cited in the following 2 articles:
    1. V. P. Maslov, Mathematical Events of the Twentieth Century, 2006, 163  crossref
    2. S. Yu. Dobrokhotov, E. S. Semenov, B. Tirozzi, “Hugoniot–Maslov Chains for the System of Shallow-Water Equations Taking into Account Energy Exchange”, Math. Notes, 78:5 (2005), 740–743  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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