Time fractional Biswas–Milovic equation: Group analysis, soliton solutions, conservation laws and residual power series solution
Abstract
In this work, we studied time fractional Biswas–Milovic equation (FBME) which describes the long distance optical communication with Kerr law nonlinearity. We analyzed group analysis of equation by using Lie symmetry analysis and reduced it to fractional ordinary differential equation. We obtained analytic soliton solutions for the equation by means of [Formula presented] expansion method in form of hyperbolic, trigonometric and rational function form. The conservation laws for fractional governing equation are constructed by using non linear self adjointness and Noether's operators. The numerical approximated solution are also obtained by using residual power series method. Some figures are also added to understand the solutions.
Journal
Optik
Access Type
Closed Access