Discrete Spectral Transformations of Skew Orthogonal Polynomials and Associated Discrete Integrable Systems

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Discrete Spectral Transformations of Skew Orthogonal Polynomials and Associated Discrete Integrable Systems

Discrete spectral transformations of skew orthogonal polynomials are presented. From these spectral transformations, it is shown that the corresponding discrete integrable systems are derived both in 1+1 dimension and in 2+1 dimension. Especially in the (2+1)dimensional case, the corresponding system can be extended to 2 × 2 matrix form. The factorization theorem of the Christoffel kernel for s...

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ژورنال

عنوان ژورنال: Symmetry, Integrability and Geometry: Methods and Applications

سال: 2012

ISSN: 1815-0659

DOI: 10.3842/sigma.2012.008