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Teoreticheskaya i Matematicheskaya Fizika, 1983, Volume 56, Number 3, Pages 368–386 (Mi tmf2220)  
This article is cited in 9 scientific papers (total in 9 papers)

On the infinite-dimensional noncommutative Lie–Bäcklund algebra associated with the equations of one-dimensional gas dynamics

M. B. Sheftel
Full-text PDF (1849 kB) Citations (9)
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Abstract: A study is made of the infinite-dimensional noncommutative Lie–Bäcklund algebra associated with the equations of one-dimensional plane isentropic flow of a gas and with the infinite set of systems of evolution equations associated with them. Infinite series of invariant solutions and conservation laws and $L-A$ pairs for all these equations are obtained. A new operator method for finding invariant solutions is proposed.
Received: 17.08.1982
English version:
Theoretical and Mathematical Physics, 1983, Volume 56, Issue 3, Pages 878–891
DOI: https://doi.org/10.1007/BF01086255
Bibliographic databases:
Language: Russian
Citation: M. B. Sheftel, “On the infinite-dimensional noncommutative Lie–Bäcklund algebra associated with the equations of one-dimensional gas dynamics”, TMF, 56:3 (1983), 368–386; Theoret. and Math. Phys., 56:3 (1983), 878–891
Citation in format AMSBIB
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\paper On the infinite-dimensional noncommutative Lie--B\"acklund algebra associated with the equations of one-dimensional gas dynamics
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\pages 368--386
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\transl
\jour Theoret. and Math. Phys.
\yr 1983
\vol 56
\issue 3
\pages 878--891
\crossref{https://doi.org/10.1007/BF01086255}
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    • This publication is cited in the following 9 articles:
    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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