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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
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
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.
Linking options:
https://www.mathnet.ru/eng/sigma271 https://www.mathnet.ru/eng/sigma/v4/p18
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Abstract page: | 256 | Full-text PDF : | 55 | References: | 41 |
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