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arxiv: 1604.00220 · v1 · pith:YC52WQYCnew · submitted 2016-04-01 · 🌊 nlin.SI

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

classification 🌊 nlin.SI
keywords chainsexistencesemi-discretex-integralchainclassconditionsconsidered
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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.

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