Bäcklund-Darboux Transformations and Discretizations of Super KdV Equation
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 transform...
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| Datum: | 2014 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2014
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| Schriftenreihe: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/146690 |
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| Zitieren: | 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. |
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irk-123456789-1466902019-02-11T01:24:55Z Bäcklund-Darboux Transformations and Discretizations of Super KdV Equation Xue, L.L. Liu, Q.P. 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. 2014 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Xue, L.L. Liu, Q.P. |
| spellingShingle |
Xue, L.L. Liu, Q.P. Bäcklund-Darboux Transformations and Discretizations of Super KdV Equation Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Xue, L.L. Liu, Q.P. |
| author_sort |
Xue, L.L. |
| title |
Bäcklund-Darboux Transformations and Discretizations of Super KdV Equation |
| title_short |
Bäcklund-Darboux Transformations and Discretizations of Super KdV Equation |
| title_full |
Bäcklund-Darboux Transformations and Discretizations of Super KdV Equation |
| title_fullStr |
Bäcklund-Darboux Transformations and Discretizations of Super KdV Equation |
| title_full_unstemmed |
Bäcklund-Darboux Transformations and Discretizations of Super KdV Equation |
| title_sort |
bäcklund-darboux transformations and discretizations of super kdv equation |
| publisher |
Інститут математики НАН України |
| publishDate |
2014 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146690 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT xuell backlunddarbouxtransformationsanddiscretizationsofsuperkdvequation AT liuqp backlunddarbouxtransformationsanddiscretizationsofsuperkdvequation |
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2025-07-11T00:26:06Z |
| last_indexed |
2025-07-11T00:26:06Z |
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1837308122596638720 |