Exact solutions of time fractional Korteweg-de Vries-Zakharov-Kuznetsov equation

Unal S. C., DAŞCIOĞLU A.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol.44, no.11, pp.9557-9570, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 44 Issue: 11
  • Publication Date: 2021
  • Doi Number: 10.1002/mma.7379
  • Journal Name: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.9557-9570
  • Keywords: fractional partial differential equation, Jacobi elliptic function, KdV–ZK equation, nonlinear ordinary differential equation
  • Süleyman Demirel University Affiliated: Yes

Abstract

In this study, an analytic method based on the Jacobi elliptic functions has been presented to obtain the exact solutions of time fractional Korteweg-de Vries-Zakharov-Kuznetsov (KdV-ZK) equation. This equation is reduced to a nonlinear ordinary differential equation. The elementary and elliptic function solutions of this equation are investigated. Many exact solutions containing the rational, complex, trigonometric, and hyperbolic functions are also found. Besides, some of the solutions are demonstrated by the graphics.