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Item Solitons in magneto-optic waveguides by extended trial function scheme.(Elsevier, 2017-04-12)This paper obtains soliton solutions to magneto-optic waveguides that appear with Kerr, power and log-law nonlinearities. The extended trial function method is employed to obtain these solutions. Thus, bright, dark and singular soliton solutions are retrieved. In addition, Gaussons are obtained for log-law nonlinear waveguides. All of these solutions appear with constraints that guarantees the existence of solitons and Gaussons.Item Dispersive optical solitons with Schrödinger–Hirota equation by extended trial equation method.(Elsevier, 2017-02-12)This paper obtains bright, dark and singular soliton solutions from perturbed Schrödinger–Hirota equation that governs the propagation of dispersive pulses through optical fibers. The trial equation method is adopted to achieve this goal. Both Kerr and power laws of nonlinearity are covered.Item Optical solitons for Lakshmanan–Porsezian–Daniel model with spatio-temporal dispersion using the method of undetermined coefficients.(Elsevier, 2017-06-23)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.Item Embedded solitons and conservation law with χ (2) and χ (3) nonlinear susceptibilities.(Jagiellonian University, 2016-10-27)This paper studies embedded solitons that are confined to continuous spectrum, with χ(2) and χ(3) nonlinear susceptibilities. Bright and singular soliton solutions are obtained by the method of undetermined coefficients. Subsequently, the Lie symmetry analysis and mapping method retrieves additional solutions to the model such as shock waves, singular solitons, cnoidal waves, and several others. Finally, a conservation law for this model is secured through the Lie symmetry analysis.Item Solitons in nonlinear directional couplers with optical metamaterials by trial function scheme.(Jagiellonian University, 2017-03-23)This paper obtains soliton solutions to nonlinear directional couplers in optical metamaterials by the aid of trial function method. Three types of couplers are studied. Four forms of nonlinearity are considered. Bright, dark, and singular soliton solutions are retrieved. These soliton solutions appear with certain constraint conditions that guarantee their existence.
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