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

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Фізико-технічні та математичні науки
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2008, том 4
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Symmetry, Integrability and Geometry: Methods and Applications, 2008, том 4, випуск за цей рік
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dc.contributor.author	Meshkov, A.G.
dc.contributor.author	Balakhnev, M.Ju.
dc.date.accessioned	2019-02-19T12:15:45Z
dc.date.available	2019-02-19T12:15:45Z
dc.date.issued	2008
dc.identifier.citation	Two-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.issn	1815-0659
dc.identifier.other	2000 Mathematics Subject Classification: 37K10; 35Q53; 37K20
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/148971
dc.description.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 × 4 matrices are presented.	uk_UA
dc.description.sponsorship	We 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.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Two-Field Integrable Evolutionary Systems of the Third Order and Their Differential Substitutions	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA