Abstract
AbstractIn this communication we study a class of one parameter dependent auto-Bäcklund transformations for the first flow of the relativistic Toda lattice and also a variant of the usual Toda lattice equation. It is shown that starting from the Hamiltonian formalism such transformations are canonical in nature with a well defined generating function. The notion of spectrality is also analyzed and the separation variables are explicitly constructed.
Subject
General Physics and Astronomy
Reference13 articles.
1. E.K. Sklyanin, CRM Proc. Lect. Notes 26, 227 (2000)
2. V.B. Kuznetsov, A.V. Tsiganov, arXiv:hepth/9402111v1
3. V.B. Kuznetsov, E.K. Sklyanin, J. Phys. Math. Gen. 31, 2241 (1998)
4. A. Roy Chowdhury, A. Ghose Choudhury, Quantum Integrable systems (Chapman and Hall, London, 2004)
5. B. Khanra, A. Ghose Choudhury, Inv. Prob. 25, 085002 (2009)
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