Direct Connection between the R_{II} Chain and the Nonautonomous Discrete Modified KdV Lattice

Abstract

The spectral transformation technique for symmetric R_{II} polynomials is developed. Use of this technique reveals that the nonautonomous discrete modified KdV (nd-mKdV) lattice is directly connected with the R_{II} chain. Hankel determinant solutions to the semi-infinite nd-mKdV lattice are also presented.

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Cited by in corpus (2)

• Nonautonomous ultradiscrete hungry Toda lattice and a generalized box-ball system
• Discrete-time analysis for the integrable discrete Toda equations and the discrete Lotka-Volterra system