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Teoreticheskaya i Matematicheskaya Fizika, 2008, Volume 155, Number 2, Pages 344–355
DOI: https://doi.org/10.4213/tmf6216 (Mi tmf6216) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Symmetries of nonlinear hyperbolic systems of the Toda chain type

V. V. Sokolova, S. Ya. Startsevb

a L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
b Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
Full-text PDF (400 kB) Citations (13)
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DOI: https://doi.org/10.4213/tmf6216
Abstract: We consider hyperbolic systems of equations that have full sets of integrals along both characteristics. The best known example of models of this type is given by two-dimensional open Toda chains. For systems that have integrals, we construct a differential operator that takes integrals into symmetries. For systems of the chosen type, this proves the existence of higher symmetries dependent on arbitrary functions.
Keywords: Liouville equation, Toda chain, integral, higher symmetry, hyperbolic system of partial differential equations, Noether theorem.
Received: 30.06.2007
English version:
Theoretical and Mathematical Physics, 2008, Volume 155, Issue 2, Pages 802–811
DOI: https://doi.org/10.1007/s11232-008-0069-9
Bibliographic databases:
Language: Russian
Citation: V. V. Sokolov, S. Ya. Startsev, “Symmetries of nonlinear hyperbolic systems of the Toda chain type”, TMF, 155:2 (2008), 344–355; Theoret. and Math. Phys., 155:2 (2008), 802–811
Citation in format AMSBIB
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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