On existence of an x-integral for a semi-discrete chain of hyperbolic type


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ZHELTUKHIN K. , ZHELTUKHİNA N.

23rd International Conference on Integrable Systems and Quantum Symmetries (ISQS), Prague, Czech Republic, 23 - 27 June 2015, vol.670 identifier identifier

Abstract

A class of semi-discrete chains of the form l(1x) = f(x, t, ti, G) is considered. For the given chains easily verifiable conditions for existence of x-integral of minimal order 4 are obtained.