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

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dc.contributor.authorMeshkov, A.G.
dc.contributor.authorBalakhnev, M.Ju.
dc.date.accessioned2019-02-19T12:15:45Z
dc.date.available2019-02-19T12:15:45Z
dc.date.issued2008
dc.description.abstractA 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 × 4 matrices are presented.uk_UA
dc.description.sponsorshipWe are grateful to Professor V.V. Sokolov for helpful discussions. This work was supported by Federal Agency for Education of Russian Federation, project # 1.5.07.uk_UA
dc.identifier.citationTwo-Field Integrable Evolutionary Systems of the Third Order and Their Differential Substitutions / A.G. Meshkov, M.Ju. Balakhnev // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 45 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2000 Mathematics Subject Classification: 37K10; 35Q53; 37K20
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/148971
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleTwo-Field Integrable Evolutionary Systems of the Third Order and Their Differential Substitutionsuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2008, том 4, випуск за цей рік