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

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dc.creatorMeshkov, Anatoly G.
dc.creatorBalakhnev, Maxim Ju.
dc.date2008-02-09
dc.date.accessioned2026-07-07T09:34:52Z
dc.date.available2026-07-07T09:34:52Z
dc.descriptionA 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 $4 \times 4$ matrices are presented.
dc.descriptionPublished in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
dc.identifierhttps://arxiv.org/abs/0802.1253
dc.identifierhttp://arxiv.org/abs/0802.1253
dc.identifierSIGMA 4 (2008), 018, 29 pages
dc.identifierdoi:10.3842/SIGMA.2008.018
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159648
dc.subjectExactly Solvable and Integrable Systems
dc.subjectMathematical Physics
dc.titleTwo-Field Integrable Evolutionary Systems of the Third Order and Their Differential Substitutions
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