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Teoreticheskaya i Matematicheskaya Fizika, 1996, Volume 108, Number 1, Pages 109–128
DOI: https://doi.org/10.4213/tmf1181 (Mi tmf1181) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On first-order conservation laws for systems of hydronamic type equations

E. V. Ferapontovab, R. A. Sharipovab

a Bashkir State University
b Institute for Mathematical Modelling, Russian Academy of Sciences
Full-text PDF (298 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf1181
Abstract: We consider conservation laws of the first order quadratic in derivatives related to systems of equations of hydrodynamic type. We derive the defining relations for their densities in a form invariant with respect to the pointwise change of variables. Examples of nondiagonalizable systems admitting quadratic conservation laws are given.
Received: 17.09.1995
English version:
Theoretical and Mathematical Physics, 1996, Volume 108, Issue 1, Pages 937–952
DOI: https://doi.org/10.1007/BF02070520
Bibliographic databases:
Language: Russian
Citation: E. V. Ferapontov, R. A. Sharipov, “On first-order conservation laws for systems of hydronamic type equations”, TMF, 108:1 (1996), 109–128; Theoret. and Math. Phys., 108:1 (1996), 937–952
Citation in format AMSBIB
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\by E.~V.~Ferapontov, R.~A.~Sharipov
\paper On first-order conservation laws for systems of hydronamic type equations
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\vol 108
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\pages 109--128
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\crossref{https://doi.org/10.4213/tmf1181}
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\zmath{https://zbmath.org/?q=an:0934.35090}
\transl
\jour Theoret. and Math. Phys.
\yr 1996
\vol 108
\issue 1
\pages 937--952
\crossref{https://doi.org/10.1007/BF02070520}
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  • https://www.mathnet.ru/eng/tmf1181
  • https://doi.org/10.4213/tmf1181
  • https://www.mathnet.ru/eng/tmf/v108/i1/p109
    • This publication is cited in the following 4 articles:
    1. Opanasenko S., Bihlo A., Popovych R.O., Sergyeyev A., “Extended Symmetry Analysis of An Isothermal No-Slip Drift Flux Model”, Physica D, 402 (2020), 132188  crossref  isi
    2. Pavlov M.V., Vitolo R.F., “Remarks on the Lagrangian representation of bi-Hamiltonian equations”, J. Geom. Phys., 113 (2017), 239–249  crossref  mathscinet  zmath  isi  scopus
    3. Pavlov M.V. Vitolo R.F., “on the Bi-Hamiltonian Geometry of Wdvv Equations”, Lett. Math. Phys., 105:8 (2015), 1135–1163  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus  scopus  scopus
    4. A. V. Gladkov, V. V. Dmitrieva, R. A. Sharipov, “Some nonlinear equations reducible to diffusion-type equations”, Theoret. and Math. Phys., 123:1 (2000), 436–445  mathnet  crossref  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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