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.

References in corpus (3)

• Padé interpolation for elliptic Painlevé equation
• Symmetries and Special Solutions of Reductions of the Lattice Potential KdV Equation
• A generalized eigenvalue algorithm for tridiagonal matrix pencils based on a nonautonomous discrete integrable system

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