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A Completeness Study on Certain 2×2 Lax Pairs Including Zero Terms
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 w...
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Інститут математики НАН України
2011
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/147391 |
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irk-123456789-1473912019-02-15T01:23:59Z A Completeness Study on Certain 2×2 Lax Pairs Including Zero Terms Hay, M.C. 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. 2011 Article 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. 1815-0659 2010 Mathematics Subject Classification: 37K15; 39A14; 70H06 http://dspace.nbuv.gov.ua/handle/123456789/147391 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| language |
English |
| description |
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. |
| format |
Article |
| author |
Hay, M.C. |
| spellingShingle |
Hay, M.C. A Completeness Study on Certain 2×2 Lax Pairs Including Zero Terms Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Hay, M.C. |
| author_sort |
Hay, M.C. |
| title |
A Completeness Study on Certain 2×2 Lax Pairs Including Zero Terms |
| title_short |
A Completeness Study on Certain 2×2 Lax Pairs Including Zero Terms |
| title_full |
A Completeness Study on Certain 2×2 Lax Pairs Including Zero Terms |
| title_fullStr |
A Completeness Study on Certain 2×2 Lax Pairs Including Zero Terms |
| title_full_unstemmed |
A Completeness Study on Certain 2×2 Lax Pairs Including Zero Terms |
| title_sort |
completeness study on certain 2×2 lax pairs including zero terms |
| publisher |
Інститут математики НАН України |
| publishDate |
2011 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147391 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT haymc acompletenessstudyoncertain22laxpairsincludingzeroterms AT haymc completenessstudyoncertain22laxpairsincludingzeroterms |
| first_indexed |
2023-05-20T17:27:37Z |
| last_indexed |
2023-05-20T17:27:37Z |
| _version_ |
1796153339577106432 |