On the analysis of optical pulses to the fractional extended nonlinear system with mechanism of third-order dispersion arising in fiber optics

In this paper, the dynamics of optical pulses of the fractional extended nonlinear Schrödinger equation and the effect of the third-order dispersion parameter are studied. The equation physically defines the propagation of femtosecond in nonlinear optical fiber and plasma physics. These types of equations are applicable in many real-world scenarios, such as physical sciences and optical engineering. One of the most important applications of such equations is the study of solitons, which are self-sustaining solitary waves that retain their shape and momentum even after collision with other solitons. Solitons are employed in many different fields, including fluid dynamics (where they simulate long-lasting ocean waves) and optical communications (where they transmit information over large distances without distortion). Different types of optical pulses, including mixed, dark, singular, bright-dark, bright, complex and combined solitons are extracted by using the recently integration method known as modified Sardar subequation method. The technique used in this analysis is effective and robust, as demonstrated by the computational results. Different sets and values of the physical parameters are used to study the optical soliton solutions of the resulting system. Moreover, different graphs with the associated parameter values are sketched to visualize the solutions behaviour.