A Completeness Study on Certain 2×2 Lax Pairs Including Zero Terms
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
A Completeness Study on Certain 2×2 Lax Pairs Including Zero Terms
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| Creator |
Hay, M.C.
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| 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.
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| Date |
2019-02-14T17:00:38Z
2019-02-14T17:00:38Z 2011 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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