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Exact solutions of time fractional Korteweg–de Vries–Zakharov–Kuznetsov equation
Author(s) -
Çulha Ünal Sevil,
Daşcıoğlu Ayşegül
Publication year - 2021
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.7379
Subject(s) - mathematics , korteweg–de vries equation , hyperbolic function , elliptic function , trigonometric functions , partial differential equation , dispersionless equation , riccati equation , trigonometry , rational function , kadomtsev–petviashvili equation , mathematical analysis , nonlinear system , characteristic equation , physics , quantum mechanics , geometry
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.