Non-isospectral extension of the Volterra lattice hierarchy, and Hankel determinants
classification
🌊 nlin.SI
keywords
equationslatticehierarchyvolterradeterminantsextensionfirsthankel
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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.
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