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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2013 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2013
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/149365 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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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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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Direct Connection between the RII Chain and the Nonautonomous Discrete Modified KdV Lattice |
| spellingShingle |
Direct Connection between the RII Chain and the Nonautonomous Discrete Modified KdV Lattice Maeda, K. Tsujimoto, S. |
| title_short |
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_sort |
direct connection between the rii chain and the nonautonomous discrete modified kdv lattice |
| author |
Maeda, K. Tsujimoto, S. |
| author_facet |
Maeda, K. Tsujimoto, S. |
| publishDate |
2013 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/149365 |
| 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. |
| work_keys_str_mv |
AT maedak directconnectionbetweentheriichainandthenonautonomousdiscretemodifiedkdvlattice AT tsujimotos directconnectionbetweentheriichainandthenonautonomousdiscretemodifiedkdvlattice |
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2025-12-07T16:52:12Z |
| last_indexed |
2025-12-07T16:52:12Z |
| _version_ |
1850869109282045952 |