Derivative (finance)

Physics

Exponential function

Mathematics

Evolutionary biology

Conformable matrix

Biology

Financial economics

Fractional calculus

Mathematical analysis

Function (biology)

Economics

Programming language

Computer science

Quantum mechanics

Differential equation

Applied mathematics

Integer (computer science)

Rational function

Modern Physics Letters A

In this paper, new analytical obliquely propagating wave solutions for the time fractional extended Zakharov–Kuzetsov (FEZK) equation of conformable derivative are investigated. By using the main properties of the conformable derivative, the FEZK equation is transformed into integer-order differential equations, and the reduced equations are solved via the generalized exponential rational function method (GERFM). The shape and features for the resulting solutions are illustrated through three-dimensional (3D) plots and corresponding contour plots for various values of the free parameters.

Generalized exponential rational function method for extended Zakharov–Kuzetsov equation with conformable derivative