Application of $tan(\phi/2)$-expansion method for solving the fractional Biswas-Milovic equation for Kerr law nonlinearity
نویسندگان
1 Gubkin Russian State University of Oil and Gas, Moscow, Russia.
2 Gubkin Russian State University of Oil and Gas, Moscow, Russia.
3 Gubkin Russian State University of Oil and Gas, Moscow, Russia.
4 Kuban State University, Krasnodar, Russia.
5 Don State Technical University, Rostov-on-Don, Russia.
doi
10.22034/cmde.2024.61349.2636چکیده
In this paper, the improved $\tan\left(\Phi(\xi)/2\right)$-expansion method (ITEM) is proposed to obtain the fractional Biswas-Milovic equation. The exact particular solutions contain four types: hyperbolic function solution, trigonometric function solution, exponential solution, and rational solution. We obtained further solutions compared with other methods, such as [2]. Recently, this method has been developed for searching exact travelling wave solutions of nonlinear partial differential equations. These solutions might play an important role in nonlinear optics and physics. It is shown that this method, with the help of symbolic computation, provides a straightforward and powerful mathematical tool for solving problems in nonlinear optics.
