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

• Authors: Anindya Choudhury
• 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.

Keywords

EN

Lax matrix; Bäcklund transformations; generating function; separation of variables

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2013
• Volume: 11
• Issue: 1
• Pages: 49-58

Dates

published

1 - 1 - 2013

online

15 - 1 - 2013

Contributors

author

Anindya Choudhury

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

References

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Identifiers

DOI

10.2478/s11534-012-0127-7