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In this paper, highly dispersive optical solitons are obtained with the perturbed complex Ginzburg--Landau equation, incorporating the Kerr law of nonlinearity, by the complete discriminant classification approach. A variety of solutions emerge from this scheme that include solitons, periodic solutions and doubly periodic solutions. The numerical sketches support the analytical findings. [ABSTRACT FROM AUTHOR]

In the present investigation, we employed the Jacobi elliptic function (JEF) method to invoke the perturbed nonlinear Schrödinger equation with self-steepening (SS), self-phase modulation (SPM), and group velocity dispersion (GVD), which govern the propagation of solitonic pulses in optical fibres. The proposed algorithm proves the existence of the family of solitons in optical fibers. Consequently, chirped and chirp free W-shaped bright, dark soliton solutions are obtained from dn(!), cn(!) and sn(!) functions. The final results are displayed in three-dimensional plots with specific physical values of GVD, SPM and SS for an optical fiber. [ABSTRACT FROM AUTHOR]

This paper obtains soliton solutions to Sasa–Satsuma equation, which is studied in birefringent fibers with multiplicative noise. The extended auxiliary equation approach reveals solutions in terms of Jacobi's elliptic functions from which bright, dark and singular solitons emerge when the limiting operation is applied to the modulus of ellipticity, with the limit approaching zero or unity. [ABSTRACT FROM AUTHOR]

This paper uses the classical Lie symmetry method for optical solitons to study the Chen-Lee-Liu equation. We are able to establish symmetries that convert the model into a set of ordinary differential equations and obtain solutions of the reduced equations through various methods. [ABSTRACT FROM AUTHOR]

In the current paper, a full spectrum of 1-soliton solutions to the concatenation model with the power-law of self-phase modulation has been recovered. The method of undetermined coefficients has permitted us to solve this problem successfully. The parameter constraints naturally emerge from the derivation and are also listed, guaranteeing these solitons' existence. It has been proved that dark solitons and singular solitons of a specific type would exist only when the power-law parameter collapses to unity. [ABSTRACT FROM AUTHOR]

This paper implements two of Kudryashov's approaches to extract optical soliton solutions to the concatenation model that is a conjunction of the nonlinear Schrödinger's equation, Lakshmanan-Porsezian-Daniel model, and the Sasa-Satsuma equation. A full spectrum of soliton solutions emerged along with the parameter constraints that are all comprehensively presented. [ABSTRACT FROM AUTHOR]

We derive stationary optical solitons for the case when the nonlinear refractive index of Kudryashov's quintuple form is coupled with a nonlocal type of self-phase modulation in the presence of nonlinear chromatic dispersion. An enhanced Kudryashov's approach has made this derivation of soliton solutions possible for the case of generalized temporal evolution. [ABSTRACT FROM AUTHOR]