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A Completeness Study on Certain 2×2 Lax Pairs Including Zero Terms

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dc.contributor.author Hay, M.C.
dc.date.accessioned 2019-02-14T17:00:38Z
dc.date.available 2019-02-14T17:00:38Z
dc.date.issued 2011
dc.identifier.citation A Completeness Study on Certain 2×2 Lax Pairs Including Zero Terms / M.C. Hay // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 15 назв. — англ. uk_UA
dc.identifier.issn 1815-0659
dc.identifier.other 2010 Mathematics Subject Classification: 37K15; 39A14; 70H06
dc.identifier.uri http://dspace.nbuv.gov.ua/handle/123456789/147391
dc.description.abstract We expand the completeness study instigated in [J. Math. Phys. 50 (2009), 103516, 29 pages] which found all 2×2 Lax pairs with non-zero, separable terms in each entry of each Lax matrix, along with the most general nonlinear systems that can be associated with them. Here we allow some of the terms within the Lax matrices to be zero. We cover all possible Lax pairs of this type and find a new third order equation that can be reduced to special cases of the non-autonomous lattice KdV and lattice modified KdV equations among others. uk_UA
dc.description.sponsorship This paper is a contribution to the Proceedings of the Conference “Symmetries and Integrability of Difference Equations (SIDE-9)” (June 14–18, 2010, Varna, Bulgaria). The full collection is available at http://www.emis.de/journals/SIGMA/SIDE-9.html. The author appreciatively acknowledges support from the Global COE Program “Education and Research Hub for Mathematics-for-Industry” from the Ministry of Education, Culture, Sports, Science and Technology, Japan. 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 A Completeness Study on Certain 2×2 Lax Pairs Including Zero Terms uk_UA
dc.type Article uk_UA
dc.status published earlier uk_UA

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