Author： Yamilov R.
Publisher： Springer Publishing Company
ISSN： 0040-5779
Source： Theoretical and Mathematical Physics, Vol.151, Iss.1, 2007-04, pp. : 492-504
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Abstract
We consider a class of discrete-differential equations that contains the relativistic Toda chain and is characterized by one arbitrary function of six variables. We derive three conditions that allow testing the integrability of any given equation in this class. In deriving these conditions, we use higher symmetries distinguishing the equations that are integrable via the inverse scattering method.
Related content
Access to resources
Recommend
Transition function for the Toda chain
By Silantyev A.
Theoretical and Mathematical Physics, Vol. 150, Iss. 3, 2007-03 ,pp. :
Relativistic Toda Chains and Schlesinger Transformations
Theoretical and Mathematical Physics, Vol. 139, Iss. 2, 2004-05 ,pp. :
Wave functions of the toda chain with boundary interaction
By Iorgov N.
Theoretical and Mathematical Physics, Vol. 142, Iss. 2, 2005-02 ,pp. :
Toda chain, Stieltjes function, and orthogonal polynomials
Theoretical and Mathematical Physics, Vol. 151, Iss. 1, 2007-04 ,pp. :