Chirped optical pulses for generalized longitudinal Lugiato Lefever: cubic nonlinear Schrodinger equation

The Lugiato-Lefever equation is a cubic nonlinear Schrodinger equation (NLSEs) that occurs as a model in nonlinear optics and includes damping, detuning, and driving. On the basis of a model of coupled nonlinear NLSEs, the trapping behaviour of two chirped solitons creating a bound state in a single-mode birefringent fibre is explored. The positive initial chirp is critical for managing the soliton trapping threshold amplitude without creating excessive pulse broadening. In this paper, the Jacobi elliptic function (JE) technique, which is one of the efficient integration procedures, is used to investigate chirped elliptic and solitary wave solitons (SWS) to NLSEs with generalized Longitudinal Lugiato Lefever (GLLL) equation. As a result, the bright, single, dark, bell, kink soliton, and other solutions of the governing model are found. In further, we demonstrate successful results in 3D, 2D and contour structures.