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Teoreticheskaya i Matematicheskaya Fizika, 2011, Volume 166, Number 1, Pages 51–67
DOI: https://doi.org/10.4213/tmf6595 (Mi tmf6595) 		 
This article is cited in 19 scientific papers (total in 19 papers)

Hyperbolic equations with third-order symmetries

A. G. Meshkova, V. V. Sokolovb

a Orel State Technical University, Orel, Russia
b Landau Institute for Theoretical Physics, RAS, Moscow, Russia
Full-text PDF (476 kB) Citations (19)
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DOI: https://doi.org/10.4213/tmf6595
Abstract: We present a complete list of nonlinear one-field hyperbolic equations with integrable third-order $x$ and $y$ symmetries. The list includes both equations of the sine-Gordon type and equations linearizable by differential substitutions.
Keywords: higher symmetry, sine-Gordon type equation, Liouville-type equation.
Received: 05.07.2010
English version:
Theoretical and Mathematical Physics, 2011, Volume 166, Issue 1, Pages 43–57
DOI: https://doi.org/10.1007/s11232-011-0004-3
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. G. Meshkov, V. V. Sokolov, “Hyperbolic equations with third-order symmetries”, TMF, 166:1 (2011), 51–67; Theoret. and Math. Phys., 166:1 (2011), 43–57
Citation in format AMSBIB
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    • This publication is cited in the following 19 articles:
    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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