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

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.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0001-F15B-9 Version Permalink: http://hdl.handle.net/21.11116/0000-0002-03C6-B
Genre: Journal Article

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 Creators:
Chen, Xiaomin1, Author              
Hu, X. B., Author
Müller-Hoissen, Folkert1, Author              
Affiliations:
1Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063285              

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Free keywords: 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.

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Language(s): eng - English
 Dates: 2018-08-072018-09
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Method: Peer
 Identifiers: DOI: 10.1088/1361-6544/aacd63
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Title: Nonlinearity
Source Genre: Journal
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Pages: - Volume / Issue: 31 (9) Sequence Number: - Start / End Page: 4393 - 4422 Identifier: -