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This paper addresses the dynamics of optical solitons in the presence of perturbation terms by the aid of three integration schemes. They are modified simple equation method, trial equation scheme, and the extended trial equation scheme. There are three types of nonlinearities that are studied in this paper which are Kerr law, power law, and logarithmic law. The constraint conditions for the existence of these solitons are also presented. [ABSTRACT FROM AUTHOR]

This paper derives singular 1-soliton solution for optical metamaterials. There are two integration approaches that obtains the solution. These are the ansatz approach and the simplest equation approach. The second method also leads to an additional set of solutions that emerge as a by-product. These are topological soliton, rational solution and singular periodic solution. The constraint conditions for the existence of these solutions are also exhibited. The numerical simulation of a topological 1-soliton solution is also exhibited. [ABSTRACT FROM AUTHOR]

This paper studies the perturbation of the improved version of the nonlinear Schrödinger's equation that governs the propagation of solitons through nonlinear optical fibers. The semi-inverse variational principle is employed in order to obtain an analytical soliton solution in presence of the perturbation terms. There are three types of nonlinearity that will be studied. They are Kerr law, power law and the log law. The constraint conditions will naturally fall out in order for the soliton solutions to exist. The numerical simulations supplement the analytical results for each of the three laws of nonlinearity. [ABSTRACT FROM AUTHOR]

Abstract: This paper addresses the dynamics of solitons in optical metamaterials. Both bright and dark soliton solutions are obtained. The ansatz method of integration is employed to extract the 1-soliton solutions to the governing equations. A couple of constraint relations are obtained in order for these solitons to exist. A few numerical simulations are also given to expose the dissipative effects. [Copyright &y& Elsevier]

This paper obtains optical soliton solutions to the Lakshmanan–Porsezian–Daniel model. The method of undetermined coefficients is applied to extract these solutions. Bright, dark and singular soliton solutions are obtained and the constraint conditions for the existence of these solitons are presented. [ABSTRACT FROM AUTHOR]

This paper studies the dynamics of soliton propagation through optical metamaterials. The proposed model will be studied with five forms of nonlinearity. They are Kerr law, power law, parabolic law, dual-power law and log-law. The integration scheme that will be adopted is the method of undetermined coefficients. Bright, dark and singular soliton solutions will be obtained. The essential conditions for the existence of these solitons will naturally emerge. [ABSTRACT FROM AUTHOR]

This paper studies the propagation of solitons through birefringent fibers in the presence of spatio-temporal dispersion. Both Kerr and parabolic laws of nonlinearity are addressed. The exact 1-soliton solutions are obtained. There are several constraint conditions that ensure soliton solutions are derived. Three types of solitons are obtained: bright, dark and singular solitons. [ABSTRACT FROM AUTHOR]

This paper studies the perturbed optical solitons with parabolic and dual-power law nonlinearities in presence of spatio-temporal dispersion. The semi-inverse variational principle is applied to extract an analytical 1-soliton solution to the governing equation. There are constraint conditions that naturally fall out for the existence of these solitons. [ABSTRACT FROM AUTHOR]