On the discretization of Darboux Integrable Systems

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ZHELTUKHIN K., ZHELTUKHİNA N.

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, vol.27, no.4, pp.616-632, 2020 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 27 Issue: 4
• Publication Date: 2020
• Doi Number: 10.1080/14029251.2020.1819597
• Journal Name: JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, MathSciNet, zbMATH
• Page Numbers: pp.616-632
• Keywords: semi-discrete system, Darboux integrability, x-integral, discretization
• Middle East Technical University Affiliated: Yes

Abstract

We study the discretization of Darboux integrable systems. The discretization is done using x-, y-integrals of the considered continuous systems. New examples of semi-discrete Darboux integrable systems are obtained.