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Abstract
We study an integrable system related to the relativistic Toda lattice. The bilinear representation of this lattice is given and the Bäckulund transformation obtained. A fully discrete version is also introduced with its bilinear Bäcklund transformation (BT) and Lax pair. One-soliton solution of the discrete system is presented by use of BT.
Acknowledgements
The authors would like to express their thanks to the referees for valuable advice. G.Yu and Y.Zhang are grateful to Xing-Biao Hu for helpful discussions. The work of L.V. is supported by a grant from the National Science and Engineering Research Council (NSERC) of Canada. G.Yu acknowledges a postdoctoral fellowship from the CRM of Mathematical Physics Laboratory. G.Yu and Y.Zhang are also supported by the National Natural Science Foundation of China (Grant no.11371251,11271362) and Chenguang Program (No.09CG08) sponsored by Shanghai Municipal Education Commission and Shanghai Educational Development Foundation.
Disclosure statement
No potential conflict of interest was reported by the authors.