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Symmetry, Integrability and Geometry: Methods and Applications, 2008, Volume 4, 018, 29 pp.
DOI: https://doi.org/10.3842/SIGMA.2008.018 (Mi sigma271) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Two-Field Integrable Evolutionary Systems of the Third Order and Their Differential Substitutions

Anatoly G.G. Meshkov, Maxim Ju. Balakhnev

Orel State Technical University, Orel, Russia
Full-text PDF (464 kB) Citations (10)
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DOI: https://doi.org/10.3842/SIGMA.2008.018
URL: https://emis.mi.ras.ru/journals/SIGMA/2008/018
Abstract: A list of forty third-order exactly integrable two-field evolutionary systems is presented. Differential substitutions connecting various systems from the list are found. It is proved that all the systems can be obtained from only two of them. Examples of zero curvature representations with $4\times4$ matrices are presented.
Keywords: integrability; symmetry; conservation law; differential substitutions; zero curvature representation.
Received: October 4, 2007; in final form January 17, 2008; Published online February 9, 2008
Bibliographic databases:
Document Type: Article
MSC: 37K10; 35Q53; 37K20
Language: English
Citation: Anatoly G.G. Meshkov, Maxim Ju. Balakhnev, “Two-Field Integrable Evolutionary Systems of the Third Order and Their Differential Substitutions”, SIGMA, 4 (2008), 018, 29 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
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