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

Kazuki Maeda ; Satoshi Tsujimoto

Symmetry, integrability and geometry: methods and applications, Tome 9 (2013)

Résumé

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.

Détail

Keywords: orthogonal polynomials; spectral transformation; $\text{R}_{\text{II}}$ chain; nonautonomous discrete modified KdV lattice.

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