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  Generalized Volterra lattices: Binary Darboux transformations and self-consistent sources.

Müller-Hoissen, F., Chvartatskyi, O., & Toda, K. (2017). Generalized Volterra lattices: Binary Darboux transformations and self-consistent sources. Journal of Geometry and Physics, 113, 226-238. doi:10.1016/j.geomphys.2016.11.026.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-002C-AA4F-1 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-002D-3B87-D
Genre: Journal Article

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 Creators:
Müller-Hoissen, Folkert1, Author              
Chvartatskyi, Oleksandr1, Author              
Toda, K., Author
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1Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063285              

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Free keywords: Bidifferential calculus; Darboux transformation; Self-consistent sources; Volterra lattice; Bogoyavlensky lattices
 Abstract: We study two families of matrix versions of generalized Volterra (or Bogoyavlensky) lattice equations. For each family, the equations arise as reductions of a partial differential–difference equation in one continuous and two discrete variables, which is a realization of a general integrable equation in bidifferential calculus. This allows to derive a binary Darboux transformation and also self-consistent source extensions via general results of bidifferential calculus. Exact solutions are constructed from the simplest seed solutions.

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Language(s): eng - English
 Dates: 2016-12-072017-03
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Method: Peer
 Identifiers: DOI: 10.1016/j.geomphys.2016.11.026
 Degree: -

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Title: Journal of Geometry and Physics
Source Genre: Journal
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Pages: - Volume / Issue: 113 Sequence Number: - Start / End Page: 226 - 238 Identifier: -