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

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Chen,  Xiaomin
Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Müller-Hoissen,  Folkert
Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Citation

Chen, X., Hu, X. B., & Müller-Hoissen, F. (2018). Non-isospectral extension of the Volterra lattice hierarchy, and Hankel determinants. Nonlinearity, 31(9), 4393-4422. doi:10.1088/1361-6544/aacd63.


Cite as: https://hdl.handle.net/21.11116/0000-0001-F15B-9
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.