Abstract
In this work, we construct the exact traveling wave solutions of the fractional (2+1)-dimensional Davey-Stewartson equation system (D-S) that is complex equation system using the Modified Trial Equation Method (MTEM). We obtained trigonometric function solutions by this method that are new in literature.
Highlights
Fractional differential equations and equation systems have been studied in various fields such as physics, chemistry, engineering and certainly mathematics
To solve these fractional differential equations several analytic and numerical techniques have been used by many researchers [13].One of these is Extended Trial Equation Method (ETEM)
The method based on the fractional derivative in the sense of modified Riemann-Liouville derivative and traveling wave transformation, the fractional partial differential equation can be turned into the nonlinear nonfractional ordinary differential equation [4]
Summary
Fractional differential equations and equation systems have been studied in various fields such as physics, chemistry, engineering and certainly mathematics. To solve these fractional differential equations several analytic and numerical techniques have been used by many researchers [13].One of these is Extended Trial Equation Method (ETEM). Bekir et al constructed the exact solutions of the time fractional Fitzhugh-Nagumo and KdV equations with Exp-function Method [5]. The new fractional derivatives are presented in the literature [7,8,9].
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