Bäcklund-Darboux Transformations and Discretizations of Super KdV Equation
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Bäcklund-Darboux Transformations and Discretizations of Super KdV Equation
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| Creator |
Xue, L.L.
Liu, Q.P. |
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| Description |
For a generalized super KdV equation, three Darboux transformations and the corresponding Bäcklund transformations are constructed. The compatibility of these Darboux transformations leads to three discrete systems and their Lax representations. The reduction of one of the Bäcklund-Darboux transformations and the corresponding discrete system are considered for Kupershmidt's super KdV equation. When all the odd variables vanish, a nonlinear superposition formula is obtained for Levi's Bäcklund transformation for the KdV equation.
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| Date |
2019-02-10T18:56:56Z
2019-02-10T18:56:56Z 2014 |
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| Type |
Article
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| Identifier |
Bäcklund-Darboux Transformations and Discretizations of Super KdV Equation / L.L. Xue, Q.P. Liu // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 20 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 35Q53; 37K10; 35A30 DOI:10.3842/SIGMA.2014.045 http://dspace.nbuv.gov.ua/handle/123456789/146690 |
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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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