APPLICATION OF tan(ϕ/2)-EXPANSION METHOD FOR SOLVING THE FRACTIONAL BISWAS-MILOVIC EQUATION FOR KERR LAW NONLINEARITY

Document Type : Research Paper

Authors

1 Don State Technical University, Rostov-on-Don, Russia.

2 Gubkin Russian State University of Oil and Gas, Moscow, Russia.

3 Kuban State University, Krasnodar, Russia.

Abstract

In this paper, the improved tan (Φ(ξ)/2)-expansion method (ITEM)
is proposed to obtaining the fractional Biswas-Milovic equation. The exact particular solutions containing four types hyperbolic function solution, trigonometric
function solution, exponential solution and rational solution. We obtained the
further solutions comparing with other methods as [7]. Recently this method is
developed for searching exact travelling wave solutions of nonlinear partial differential equations. These solutions might play important role in nonlinear optic
and physics fields. It is shown that this method, with the help of symbolic computation, provide a straightforward and powerful mathematical tool for solving
problems in nonlinear optic.

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Main Subjects



Articles in Press, Accepted Manuscript
Available Online from 07 September 2024
  • Receive Date: 24 April 2024
  • Revise Date: 12 May 2024
  • Accept Date: 12 May 2024