On a class of Darboux-integrable semidiscrete equations

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ZHELTUKHIN K., ZHELTUKHİNA N., Bilen E.

ADVANCES IN DIFFERENCE EQUATIONS, 2017 (SCI-Expanded, Scopus)

• Publication Type: Article / Article
• Publication Date: 2017
• Doi Number: 10.1186/s13662-017-1241-z
• Journal Name: ADVANCES IN DIFFERENCE EQUATIONS
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Keywords: semidiscrete equations, Darboux integrability, characteristic rings, HYPERBOLIC-EQUATIONS
• Open Archive Collection: AVESIS Open Access Collection
• Middle East Technical University Affiliated: Yes

Abstract

We consider a classification problem for Darboux-integrable hyperbolic semidiscrete equations. In particular, we obtain a complete description for a special class of equations admitting four-dimensional characteristic x-rings and two-dimensional characteristic n-rings. For all described equations, the corresponding x-and n-integrals are constructed.