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arxiv: 1712.01730 · v3 · pith:SWJJSMYDnew · submitted 2017-12-05 · 🌊 nlin.SI

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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