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Teoreticheskaya i Matematicheskaya Fizika, 2008, Volume 156, Number 3, Pages 351–363
DOI: https://doi.org/10.4213/tmf6252 (Mi tmf6252) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Nonlocal symmetries in two-field divergent evolutionary systems

A. G. Meshkov

Orel State Technical University
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DOI: https://doi.org/10.4213/tmf6252
Abstract: We evaluate nonlocal symmetries for third-order exactly integrable two-field divergent evolutionary equations. These symmetries, regarded as evolutionary equations, commute with higher analogues of the underlying original equations and seem to be exactly integrable. By differentiating nonlocal systems and changing the variables, we obtain local hyperbolic systems and third-order nonevolutionary systems. We find a zero-curvature representation for some of the new systems.
Keywords: conserved density, weakly nonlocal variable, nonlocal symmetry, negative flow, exact integrability.
Received: 09.05.2007
Revised: 07.11.2007
English version:
Theoretical and Mathematical Physics, 2008, Volume 156, Issue 3, Pages 1268–1279
DOI: https://doi.org/10.1007/s11232-008-0105-9
Bibliographic databases:
Language: Russian
Citation: A. G. Meshkov, “Nonlocal symmetries in two-field divergent evolutionary systems”, TMF, 156:3 (2008), 351–363; Theoret. and Math. Phys., 156:3 (2008), 1268–1279
Citation in format AMSBIB
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    • This publication is cited in the following 1 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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