Moving front and dark solitary wave for couple of generalized nonlinear Schrödinger dynamical equations

We study some optical pulses including dark solitary waves (DSWs), moving front solitons (MFSs) or optical shock type soliton, and periodic wave solution (PWSs) and some other solution for generalized Kundu-Eckhaus equation (KEE) and generalized nonlinear Schrödinger equation (GNLSE) using ansatz transformations. We derived the propagation dynamics for short light pulses in optical fiber for our governing models. The generalized KEE describes the propagation of ultra short femto pulses in optical fiber, while GNLSE discuses the picosecond pulses in optical fiber. The MFSs are a type of soliton that possess a sharp transition or discontinuity in the optical field. The DSWs represent a fascinating phenomenon in nonlinear wave propagation, offering unique opportunities for controlling and manipulating wave fields in various physical systems. The PWSs in optical fibers show potential applications in optical communications, where they can be utilized for generating multiplexing signals and frequency combs. We also illustrate our solutions using graphs in different dimensions.