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Mathematics of the USSR-Izvestiya, 1991, Volume 37, Issue 2, Pages 397–419
DOI: https://doi.org/10.1070/IM1991v037n02ABEH002069 (Mi im1062) 		 
This article is cited in 293 scientific papers (total in 293 papers)

The geometry of Hamiltonian systems of hydrodynamic type. The generalized hodograph method

S. P. Tsarev
English version PDF (1183 kB) Citations (293) Russian version article
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DOI: https://doi.org/10.1070/IM1991v037n02ABEH002069
Abstract: It is proved that there exists an infinite involutive family of integrals of hydrodynamic type for diagonal Hamiltonian systems of quasilinear equations; the completeness of the family is also proved, and a basis for it is constructed for Whitham's equation. Higher integrals and symmetries of these systems are found.
Received: 18.10.1989
Bibliographic databases:
UDC: 514.763.85
MSC: Primary 58F05, 70H05; Secondary 58F07, 58F37, 73B99, 35Q20
Language: English
Original paper language: Russian
Citation: S. P. Tsarev, “The geometry of Hamiltonian systems of hydrodynamic type. The generalized hodograph method”, Math. USSR-Izv., 37:2 (1991), 397–419
Citation in format AMSBIB
\Bibitem{Tsa90}
\by S.~P.~Tsarev
\paper The geometry of Hamiltonian systems of hydrodynamic type. The generalized hodograph method
\jour Math. USSR-Izv.
\yr 1991
\vol 37
\issue 2
\pages 397--419
\mathnet{http://mi.mathnet.ru/eng/im1062}
\crossref{https://doi.org/10.1070/IM1991v037n02ABEH002069}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1086085}
\zmath{https://zbmath.org/?q=an:0796.76014}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1991IzMat..37..397T}
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    • This publication is cited in the following 293 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:2226
    Russian version PDF:829
    English version PDF:342
    References:234
    First page:5
     
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