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A new analytical approach to the (1+1)-dimensional conformable Fisher equation

, Miraç Kayhan, Armando Ciancio

Abstract: In this paper, we use an effective method which is the rational sine-Gordon expansion method to present new wave simulations of a governing model. We consider the (1+1)-dimensional conformable Fisher equation which is used to describe the interactive relation between diffusion and reaction. Various types of solutions such as multi-soliton, kink, and anti-kink wave soliton solutions are obtained. Finally, the physical behaviours of the obtained solutions are shown by 3D, 2D, and contour surfaces.
Keywords: Rational sine-Gordon expansion method / conformable derivative / travelling wave solutions / (1 1)-dimensional Fisher equation

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