Stationary optical solitons with complex Ginzburg-Landau equation having nonlinear chromatic dispersion and Kudryashov?s refractive index structures

This work obtains stationary optical solitons for complex Ginzburg-Landau equation that is structured with Kudryashov's self-phase modulation structures. The chromatic dispersion is also taken to be nonlinear. Six forms of nonlinear refractive index are considered. The adopted integration scheme is the generalized G'/G-expansion approach that yields solutions in terms of Jacobi's elliptic functions. The limiting approach, when applied with the modulus of ellipticity leads to the stationary optical solitons that finally emerge from the model.

Automated summary

This study obtains stationary optical solitons for the complex Ginzburg-Landau equation by using Kudryashov's self-phase modulation structures. The nonlinearity of chromatic dispersion is also considered. Six forms of nonlinear refractive index are examined. The adopted integration scheme, the generalized G'/G-expansion approach, provides solutions in terms of Jacobi's elliptic functions. By applying the limiting approach with the modulus of ellipticity, stationary optical solitons finally emerge from the model.