Discretization of Liouville type nonautonomous equations preserving integrals
Date
2016
Authors
Habibullin, I.
Zheltukhina, N.
Editor(s)
Advisor
Supervisor
Co-Advisor
Co-Supervisor
Instructor
BUIR Usage Stats
0
views
views
9
downloads
downloads
Citation Stats
Series
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
Course
Other identifiers
Book Title
Degree Discipline
Degree Level
Degree Name
Citation
Permalink
Published Version (Please cite this version)
Collections
Language
English