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Matematicheskie Zametki, 2008, Volume 83, Issue 1, Pages 107–118
DOI: https://doi.org/10.4213/mzm4338 (Mi mzm4338) 		 
This article is cited in 17 scientific papers (total in 17 papers)

Cascade Method of Laplace Integration for Linear Hyperbolic Systems of Equations

S. Ya. Startsev

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
Full-text PDF (467 kB) Citations (17)
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DOI: https://doi.org/10.4213/mzm4338
Abstract: We propose a generalization of the cascade method of Laplace integration to the case of linear hyperbolic systems of equations. On the basis of this generalization, we prove that the system of equations with vanishing product of Laplace invariants has a complete set of solutions depending on arbitrary functions.
Keywords: linear hyperbolic equation, cascade integration method, Laplace integration, Laplace invariant, differential substitution.
Received: 29.04.2005
Revised: 19.04.2007
English version:
Mathematical Notes, 2008, Volume 83, Issue 1, Pages 97–106
DOI: https://doi.org/10.1134/S0001434608010124
Bibliographic databases:
UDC: 517.956.32
Language: Russian
Citation: S. Ya. Startsev, “Cascade Method of Laplace Integration for Linear Hyperbolic Systems of Equations”, Mat. Zametki, 83:1 (2008), 107–118; Math. Notes, 83:1 (2008), 97–106
Citation in format AMSBIB
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    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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