Abstract
Recall that there exist two different relativistic Volterra hierarchies, depending on which one of the two Miura maps is used to pull back the relativistic Toda hierarchies. In other words, one of these relativistic Volterra hierarchies corresponds to the relativistic deformation.S -1UV of the productUVof the basic Lax matrices of the Volterra lattice, while the second one of the relativistic Volterra hierarchies corresponds to the relativistic deformation.S -1V U of the productVU.
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© 2003 Springer Basel AG
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Suris, Y.B. (2003). Multi-field Relativistic Volterra-like Systems. In: The Problem of Integrable Discretization: Hamiltonian Approach. Progress in Mathematics, vol 219. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8016-9_16
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DOI: https://doi.org/10.1007/978-3-0348-8016-9_16
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9404-3
Online ISBN: 978-3-0348-8016-9
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