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

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dc.contributor.authorHay, M.C.
dc.date.accessioned2019-02-14T17:00:38Z
dc.date.available2019-02-14T17:00:38Z
dc.date.issued2011
dc.description.abstractWe 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.sponsorshipThis 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.identifier.citationA 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.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 37K15; 39A14; 70H06
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/147391
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleA Completeness Study on Certain 2×2 Lax Pairs Including Zero Termsuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7, випуск за цей рік