On Miura Transformations and Volterra-Type Equations Associated with the Adler-Bobenko-Suris Equations

On Miura Transformations and Volterra-Type Equations Associated with the Adler-Bobenko-Suris Equations

We construct Miura transformations mapping the scalar spectral problems of the integrable lattice equations belonging to the Adler-Bobenko-Suris (ABS) list into the discrete Schrödinger spectral problem associated with Volterra-type equations. We show that the ABS equations correspond to Bäcklund tr...

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Bibliographic Details
Main Authors: Decio Levi, Matteo Petrera, Christian Scimiterna, Ravil Yamilov
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2008-11-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Miura transformations
generalized symmetries
ABS lattice equations
Online Access:http://dx.doi.org/10.3842/SIGMA.2008.077

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