Direct Connection between the RII Chain and the Nonautonomous Discrete Modified KdV Lattice

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2013
• Main Authors: Maeda, K., Tsujimoto, S.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2013
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149365
• 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.

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...