Direct Connection between the RII Chain and the Nonautonomous Discrete Modified KdV Lattice
The spectral transformation technique for symmetric RII polynomials is developed. Use of this technique reveals that the nonautonomous discrete modified KdV (nd-mKdV) lattice is directly connected with the RII chain. Hankel determinant solutions to the semi-infinite nd-mKdV lattice are also presente...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2013 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2013
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/149365 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Direct Connection between the RII Chain and the Nonautonomous Discrete Modified KdV Lattice / K. Maeda, S. Tsujimoto // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 38 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862704665589710848 |
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| author | Maeda, K. Tsujimoto, S. |
| author_facet | Maeda, K. Tsujimoto, S. |
| citation_txt | Direct Connection between the RII Chain and the Nonautonomous Discrete Modified KdV Lattice / K. Maeda, S. Tsujimoto // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 38 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | The spectral transformation technique for symmetric RII polynomials is developed. Use of this technique reveals that the nonautonomous discrete modified KdV (nd-mKdV) lattice is directly connected with the RII chain. Hankel determinant solutions to the semi-infinite nd-mKdV lattice are also presented.
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| first_indexed | 2025-12-07T16:52:12Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149365 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T16:52:12Z |
| publishDate | 2013 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Maeda, K. Tsujimoto, S. 2019-02-21T07:21:56Z 2019-02-21T07:21:56Z 2013 Direct Connection between the RII Chain and the Nonautonomous Discrete Modified KdV Lattice / K. Maeda, S. Tsujimoto // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 38 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 37K35; 37K60; 42C05 DOI: http://dx.doi.org/10.3842/SIGMA.2013.073 https://nasplib.isofts.kiev.ua/handle/123456789/149365 The spectral transformation technique for symmetric RII polynomials is developed. Use of this technique reveals that the nonautonomous discrete modified KdV (nd-mKdV) lattice is directly connected with the RII chain. Hankel determinant solutions to the semi-infinite nd-mKdV lattice are also presented. The authors thank Professor Kenji Kajiwara for fruitful comments and the anonymous referees
 for their valuable suggestions. This work was supported by JSPS KAKENHI Grant Numbers
 11J04105 and 25400110. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Direct Connection between the RII Chain and the Nonautonomous Discrete Modified KdV Lattice Article published earlier |
| spellingShingle | Direct Connection between the RII Chain and the Nonautonomous Discrete Modified KdV Lattice Maeda, K. Tsujimoto, S. |
| title | Direct Connection between the RII Chain and the Nonautonomous Discrete Modified KdV Lattice |
| title_full | Direct Connection between the RII Chain and the Nonautonomous Discrete Modified KdV Lattice |
| title_fullStr | Direct Connection between the RII Chain and the Nonautonomous Discrete Modified KdV Lattice |
| title_full_unstemmed | Direct Connection between the RII Chain and the Nonautonomous Discrete Modified KdV Lattice |
| title_short | Direct Connection between the RII Chain and the Nonautonomous Discrete Modified KdV Lattice |
| title_sort | direct connection between the rii chain and the nonautonomous discrete modified kdv lattice |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149365 |
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