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Journal

2013 | 11 | 1 | 49-58

Article title

Bäcklund transformation for the first flows of the relativistic Toda hierarchy and associated properties

Content

Title variants

Languages of publication

EN

Abstracts

EN
In 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.

Publisher

Journal

Year

Volume

11

Issue

1

Pages

49-58

Physical description

Dates

published
1 - 1 - 2013
online
15 - 1 - 2013

Contributors

  • Department of Physics, Surendranath College, 24/2 Mahatma Gandhi Road, Calcutta, 700009, India

References

  • [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) http://dx.doi.org/10.1088/0305-4470/31/9/012[Crossref]
  • [4] A. Roy Chowdhury, A. Ghose Choudhury, Quantum Integrable systems (Chapman and Hall, London, 2004) http://dx.doi.org/10.1201/9780203498019[Crossref]
  • [5] B. Khanra, A. Ghose Choudhury, Inv. Prob. 25, 085002 (2009) http://dx.doi.org/10.1088/0266-5611/25/8/085002[Crossref]
  • [6] B. Khanra, A. Ghose Choudhury, Phys. Lett. A 374, 4120 (2010) http://dx.doi.org/10.1016/j.physleta.2010.08.019[Crossref]
  • [7] Y.B. Suris, arXiv:Solv-int/9703004v2
  • [8] Y.B. Suris, J. Phys. Math. Gen. 30, 1745 (1997) http://dx.doi.org/10.1088/0305-4470/30/5/035[Crossref]
  • [9] Y.B. Suris, In: J.P. Françoise, G.L. Naber, Tsou S.T. (Eds.), Encyclopedia of Mathematical Physics (Elsevier, Oxford, 2006) 235 http://dx.doi.org/10.1016/B0-12-512666-2/00189-9
  • [10] M. Toda, Theory of Nonlinear lattices (Springer, Berlin, 1981) http://dx.doi.org/10.1007/978-3-642-96585-2[Crossref]
  • [11] V.B. Kuznetsov, M. Salerno, E.K. Sklyanin, J. Phys. Math. Gen. 33, 171 (2000) http://dx.doi.org/10.1088/0305-4470/33/1/311[Crossref]
  • [12] Y.B. Suris, J. Phys. Math. Gen. 30, 2235 (1997) http://dx.doi.org/10.1088/0305-4470/30/6/041[Crossref]
  • [13] A. Roy Chowdhury, A. Ghose Choudhury, Phys. Lett. A 280, 37 (2001) http://dx.doi.org/10.1016/S0375-9601(00)00817-3[Crossref]

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.-psjd-doi-10_2478_s11534-012-0127-7
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