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arxiv: 1309.4949 · v2 · pith:CONBBXKOnew · submitted 2013-09-19 · 🌊 nlin.SI · math-ph· math.MP

Direct Connection between the R_(II) Chain and the Nonautonomous Discrete Modified KdV Lattice

classification 🌊 nlin.SI math-phmath.MP
keywords latticechaindiscretemodifiednd-mkdvnonautonomoustechniqueconnected
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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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