Three dimensional reductions of four-dimensional quasilinear systems

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TitreThree dimensional reductions of four-dimensional quasilinear systems
Type de publicationJournal Article
Year of Publication2017
AuteursPavlov MV, Stoilov NM
JournalJOURNAL OF MATHEMATICAL PHYSICS
Volume58
Pagination111510
Date PublishedNOV
Type of ArticleArticle
ISSN0022-2488
Résumé

In this paper, we show that four-dimensional quasilinear systems of first order integrable by the method of two-dimensional hydrodynamic reductions possess infinitely many three-dimensional hydrodynamic reductions, which are also integrable systems. These three-dimensional multi-component integrable systems are irreducible to two-dimensional hydrodynamic reductions in a generic case. Published by AIP Publishing.

DOI10.1063/1.5006601