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Symmetry, Integrability and Geometry: Methods and Applications, 2013, Volume 9, 073, 12 pp.
DOI: https://doi.org/10.3842/SIGMA.2013.073 (Mi sigma856) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Direct Connection between the $\text{R}_{\text{II}}$ Chain and the Nonautonomous Discrete Modified KdV Lattice

Kazuki Maeda, Satoshi Tsujimoto

Department of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto University, Kyoto 606-8501, Japan
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DOI: https://doi.org/10.3842/SIGMA.2013.073
Abstract: The spectral transformation technique for symmetric $\text{R}_{\text{II}}$ polynomials is developed. Use of this technique reveals that the nonautonomous discrete modified KdV (nd-mKdV) lattice is directly connected with the $\text{R}_{\text{II}}$ chain. Hankel determinant solutions to the semi-infinite nd-mKdV lattice are also presented.
Keywords: orthogonal polynomials; spectral transformation; $\text{R}_{\text{II}}$ chain; nonautonomous discrete modified KdV lattice.
Received: September 20, 2013; in final form November 22, 2013; Published online November 26, 2013
Bibliographic databases:
Document Type: Article
MSC: 37K35; 37K60; 42C05
Language: English
Citation: Kazuki Maeda, Satoshi Tsujimoto, “Direct Connection between the $\text{R}_{\text{II}}$ Chain and the Nonautonomous Discrete Modified KdV Lattice”, SIGMA, 9 (2013), 073, 12 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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