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) identifier identifier

  • 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
  • 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.