New optical solitons perturbation in the birefringent fibers for the CGL equation with Kerr law nonlinearity using two integral schemes methods

Abstract

The researchers in this article are recovering optical soliton solutions (OSS) to the nonlinear complex Ginzburg-Landau (CGL) equation with Hamiltonian perturbation terms in birefringent fibers having Kerr law nonlinearity. Integration schemes are the addendum to extended Kudryashov's (AEK's) method and the addendum to Kudryashov's (AK's) method have made this retrieval possible. Straddled soliton, combo bright-singular soliton (CBSS), bright soliton (BS), dark soliton (DS) and singular soliton (SS) solutions as well as combination between the CBSS solution and combo dark-singular soliton (CDS) solutions, combination between DS solutions and (CDSS) solutions and combination between (SS) solutions and (CDSS) solutions are recovered and enumerated for this model. These two methods are efficient and powerful in solving a wide classes of nonlinear partial differential equations.