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

Abstract

A class of semi-discrete chains of the form $t_{1x}=f(x,t,t_1,t_x)$ is considered. For the given chains easily verifiable conditions for existence of x-integral of minimal order 4 are obtained.

References in corpus (4)

• Characteristic Lie Algebra and Classification of Semi-Discrete Models
• On the Classification of Darboux Integrable Chains
• Complete list of Darboux Integrable Chains of the form $t_{1x}=t_x+d(t,t_1)$
• On Darboux Integrable Semi-Discrete Chains