New analytical solutions of (2 + 1)-dimensional conformable time fractional Zoomeron equation via two distinct techniques

• Published in: Chinese Journal of Physics Vol. 56; no. 5; pp. 2173 - 2185
• Main Authors: Kumar, Dipankar, Kaplan, Melike
• Format: Journal Article
• Language: English; Japanese
• Published: Elsevier B.V 01.10.2018; Elsevier BV
• Subjects: Conformable fractional derivative; Exact solutions; Extended exp [formula omitted]-expansion technique; Novel exponential rational function technique; Time fractional Zoomeron equation; Time fractional Zoomeron equation; Extended exp (−Φ(ξ))-expansion technique; Novel exponential rational function technique; Conformable fractional derivative; Exact solutions
• ISSN: 0577-9073
• DOI: 10.1016/j.cjph.2018.09.013

•The (2 + 1) dimensional conformable time fractional Zoomeron equation is studied.•Two analytical techniques are applied for solving time fractional Zoomeron equation.•New exact hyperbolic, trigonometric and exponential function solutions are derived. 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.