Discretization of Liouville type nonautonomous equations preserving integrals. Issue 4 (1st October 2016)

• Record Type: Journal Article
• Authors: Habibullin, Ismagil; Zheltukhina, Natalya
• Is Part Of: Journal of nonlinear mathematical physics. Volume 23:Issue 4(2016)
• Page Start: 620
• Page End: 642
• Publication Date: 2016-10-01
• Subjects: Semi-discrete chain -- Darboux integrability -- x-integral -- n-integral -- continuum limit -- discretization; 35Q51 -- 37K60; Nonlinear theories -- Periodicals; Mathematical physics -- Periodicals; 515.252
• DOI: 10.1080/14029251.2016.1248159
• Languages: English
• ISSNs: 1402-9251

Abstract

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.