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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 ...
On the discretization of Laine equations
(Taylor and Francis, 2018)
We consider the discretization of Darboux integrable equations. For each of the integrals of a Laine equation we constructed either a semi-discrete equation which has that integral as an n-integral, or we proved that such ...