Browsing by Author "Kumar, D, Kaplan, M"

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Application of the modified Kudryashov method to the generalized Schrödinger–Boussinesq equations
(2018-09-01) Kumar D., Kaplan M.; Kumar, D, Kaplan, M
In the paper, the modified Kudryashov method is applied to find new exact solutions for the generalized Schrödinger–Boussinesq equation with the help of symbolic computation package Maple through the complex transform. The obtained solutions have been checked by substituting back into its corresponding equation with the aid of Maple package program.
New analytical solutions of (2 + 1)-dimensional conformable time fractional Zoomeron equation via two distinct techniques
(2018-10-01) Kumar D., Kaplan M.; Kumar, D, Kaplan, M
In this paper, the new exact solutions for the (2 + 1) dimensional time fractional Zoomeron equation have been derived via two efficient analytical techniques, which are the extended exp(−Φ(ξ))-expansion technique and the novel exponential rational function technique. The fractional derivative is designated based on the conformable derivative sense. Consequently, many new closed form solutions of this equation are obtained including hyperbolic function solutions, trigonometric function solutions and exponential function solutions by using these techniques. The obtained results show that the applied methods are very effective, reliable and simple for solving other nonlinear fractional differential equations in mathematical physics and nonlinear optics.