Exact solutions of time fractional Korteweg-de Vries-Zakharov-Kuznetsov equation
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.44, sa.11, ss.9557-9570, 2021 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 44 Sayı: 11
- Basım Tarihi: 2021
- Doi Numarası: 10.1002/mma.7379
- Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
- Derginin Tarandığı İndeksler: 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
- Sayfa Sayıları: ss.9557-9570
- Anahtar Kelimeler: fractional partial differential equation, Jacobi elliptic function, KdV–ZK equation, nonlinear ordinary differential equation
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
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.