Author： Yamilov R. I.
Publisher： Springer Publishing Company
ISSN： 0040-5779
Source： Theoretical and Mathematical Physics, Vol.139, Iss.2, 2004-05, pp. : 623-635
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Abstract
We construct the auto-Schlesinger transformations for all equations in the known list of integrable relativistic Toda chains. Our construction is essentially based on the equations being Lagrangian and on a standard transition to their Hamiltonian form; in this case, the transition is described by the changes of variables that are invertible but not pointwise. We discuss two examples of another type that has similar properties; these are also integrable Lagrangian equations allowing the Schlesinger transformation.
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