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arXiv · 1712.01730

Non-isospectral extension of the Volterra lattice hierarchy, and Hankel determinants

Xiao-Min Chen·Xing-Biao Hu·Folkert Müller-Hoissen
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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.

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Xiao-Min Chen, Xing-Biao Hu, Folkert Müller-Hoissen. 2017-12-05. Non-isospectral extension of the Volterra lattice hierarchy, and Hankel determinants. https://doi.org/10.1088/1361-6544%2Faacd63

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