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Volterra lattice hierarchy; Hankel determinant; orthogonal polynomials; Hirota bilinearization; non-isospectral
Abstract:
For the first two equations of the Volterra lattice hierarchy and the first two equations of its non-autonomous (non-isospectral) extension, we present Riccati systems for functions c(j)(t), j = 0, 1, ..., such that an expression in terms of Hankel determinants built from them solves these equations on the right half of the lattice. This actually achieves a complete linearization of these equations of the extended Volterra lattice hierarchy.
