Rational Solutions to the ABS List: Transformation Approach
In the paper we derive rational solutions for the lattice potential modified Korteweg-de Vries equation, and Q2, Q1(δ), H3(δ), H2 and H1 in the Adler-Bobenko-Suris list. Bäcklund transformations between these lattice equations are used. All these rational solutions are related to a unified τ functio...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2017 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2017
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/149259 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Rational Solutions to the ABS List: Transformation Approach / D. Zhang, D.J. Zhang // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 22 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862748667615641600 |
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| author | Zhang, D. Zhang, D.J. |
| author_facet | Zhang, D. Zhang, D.J. |
| citation_txt | Rational Solutions to the ABS List: Transformation Approach / D. Zhang, D.J. Zhang // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 22 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | In the paper we derive rational solutions for the lattice potential modified Korteweg-de Vries equation, and Q2, Q1(δ), H3(δ), H2 and H1 in the Adler-Bobenko-Suris list. Bäcklund transformations between these lattice equations are used. All these rational solutions are related to a unified τ function in Casoratian form which obeys a bilinear superposition formula.
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| first_indexed | 2025-12-07T20:56:19Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149259 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T20:56:19Z |
| publishDate | 2017 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Zhang, D. Zhang, D.J. 2019-02-19T19:28:50Z 2019-02-19T19:28:50Z 2017 Rational Solutions to the ABS List: Transformation Approach / D. Zhang, D.J. Zhang // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 22 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 35Q51; 35Q55 DOI:10.3842/SIGMA.2017.078 https://nasplib.isofts.kiev.ua/handle/123456789/149259 In the paper we derive rational solutions for the lattice potential modified Korteweg-de Vries equation, and Q2, Q1(δ), H3(δ), H2 and H1 in the Adler-Bobenko-Suris list. Bäcklund transformations between these lattice equations are used. All these rational solutions are related to a unified τ function in Casoratian form which obeys a bilinear superposition formula. This paper is a contribution to the Special Issue on Symmetries and Integrability of Dif ference Equations.
 The full collection is available at http://www.emis.de/journals/SIGMA/SIDE12.html.
 We are grateful to the referee for the invaluable comments. This project is supported by the
 NSF of China (no. 11371241 and no. 11631007). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Rational Solutions to the ABS List: Transformation Approach Article published earlier |
| spellingShingle | Rational Solutions to the ABS List: Transformation Approach Zhang, D. Zhang, D.J. |
| title | Rational Solutions to the ABS List: Transformation Approach |
| title_full | Rational Solutions to the ABS List: Transformation Approach |
| title_fullStr | Rational Solutions to the ABS List: Transformation Approach |
| title_full_unstemmed | Rational Solutions to the ABS List: Transformation Approach |
| title_short | Rational Solutions to the ABS List: Transformation Approach |
| title_sort | rational solutions to the abs list: transformation approach |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149259 |
| work_keys_str_mv | AT zhangd rationalsolutionstotheabslisttransformationapproach AT zhangdj rationalsolutionstotheabslisttransformationapproach |