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Teoreticheskaya i Matematicheskaya Fizika, 2004, Volume 141, Number 2, Pages 208–227
DOI: https://doi.org/10.4213/tmf121 (Mi tmf121) 		 
This article is cited in 10 scientific papers (total in 10 papers)

One Class of Liouville-Type Systems

D. K. Demskoi

Orel State University
Full-text PDF (287 kB) Citations (10)
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DOI: https://doi.org/10.4213/tmf121
Abstract: We prove that a class of systems with the Lagrangian of the form $L=\bigl[g_{ij}(u)u^i_xu^j_t\bigr]/2+f(u)$ is of the Liouville type. We construct new integrable Hamiltonian systems related to the symmetries of the hyperbolic systems under consideration by substitutions of the Miura transformation type. For one of the systems obtained, we construct the second-order recursion operator.
Keywords: system of Liouville type, higher pseudoconstants, recursion operator.
Received: 13.10.2003
Revised: 16.03.2004
English version:
Theoretical and Mathematical Physics, 2004, Volume 141, Issue 2, Pages 1509–1527
DOI: https://doi.org/10.1023/B:TAMP.0000046560.84634.8c
Bibliographic databases:
Language: Russian
Citation: D. K. Demskoi, “One Class of Liouville-Type Systems”, TMF, 141:2 (2004), 208–227; Theoret. and Math. Phys., 141:2 (2004), 1509–1527
Citation in format AMSBIB
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\jour Theoret. and Math. Phys.
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  • https://www.mathnet.ru/eng/tmf/v141/i2/p208
    • This publication is cited in the following 10 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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    References:71
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