Discretization of Liouville type nonautonomous equations preserving integrals

Date

2016

Authors

Habibullin, I.
Zheltukhina, N.

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Abstract

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.

Source Title

Journal of Nonlinear Mathematical Physics

Publisher

Taylor and Francis

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Published Version (Please cite this version)

Language

English