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

23rd International Conference on Integrable Systems and Quantum Symmetries

Zheltukhin, K.^1 ; Zheltukhina, N.^2

Department of Mathematics, Middle East Technical University, Ankara, Turkey^1

Department of Mathematics, Bilkent University, Ankara, Turkey^2

关键词: Hyperbolic type;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/670/1/012055/pdf
DOI  :  10.1088/1742-6596/670/1/012055

来源: IOP

【 摘 要 】

A class of semi-discrete chains of the form t1x= f (x,t,t1,tx) is considered. For the given chains easily verifiable conditions for existence of x-integral of minimal order 4 are obtained.