Browsing by Subject "discretization"

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    Discretization of Liouville type nonautonomous equations preserving integrals
    (Taylor and Francis, 2016) Habibullin, I.; Zheltukhina, N.
    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 common integral. For the Liouville type integrable equations from the well-known Goursat list for which the integrals of minimal order are of the order less than or equal to two we presented a list of corresponding semi-discrete versions. The list contains new examples of non-autonomous Darboux integrable chains. © 2016 the authors.