The investigation of several soliton solutions to the complex Ginzburg-Landau model with Kerr law nonlinearity

This work investigates the complex Ginzburg-Landau equation (CGLE) with Kerr law in nonlinear optics, which represents soliton propagation presence of a detuning factor. The φ^6-model expansion approach is used to find optical solitons such as dark, bright, singular, and periodic well combined solutions model. results presented this study are intended improve CGLE's dynamical characteristics, it might also assist comprehending some physical implications various physics models. hyperbolic sine, for example, appears calculation Roche limit gravitational potential cylinder, while cotangent Langevin function magnetic polarization. current research frequently report variety fascinating phenomena, non-linearity, from fact that an external electric field causes non-harmonic motion electrons bound molecules, responses light wave fiber. obtained solutions' 2-dimensional, 3-dimensional, contour plots shown.