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A Completeness Study on Certain 2×2 Lax Pairs Including Zero Terms
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7
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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 |
