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Discretization of Liouville type nonautonomous equations preserving integrals
(Taylor and Francis, 2016)
The problem of constructing semi-discrete integrable analogues of the Liouville type integrable PDE is discussed. We call the semi-discrete equation a discretization of the Liouville type PDE if these two equations have a ...
Semi-discrete hyperbolic equations admitting five dimensional characteristic x-ring
(Taylor and Francis Ltd., 2016)
The necessary and sufficient conditions for a hyperbolic semi-discrete equation to have five dimensional characteristic x-ring are derived. For any given chain, the derived conditions are easily verifiable by straightforward ...