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The current work recovers a perturbed bright 1-soliton solution to the governing model that maintains generalized quadratic–cubic nonlinearity. The perturbation terms appear with full intensity. The semi-inverse variational principle secures this soliton when all of the known approaches fail, in this regard. [ABSTRACT FROM AUTHOR]

This paper employs two integration schemes to extract dark and singular optical soliton solutions to the coupled Fokas-Lenells equation that is studied in the context of polarization-mode dispersion fibers. The existence criteria for these solitons are also presented. [ABSTRACT FROM AUTHOR]

This paper studies soliton perturbation in optical metamaterials, with anti-cubic nonlinearity, by implementing three integration schemes. Bright, dark and singular soliton solutions are retrieved. The existence criteria of these solitons in metamaterials are also presented. [ABSTRACT FROM AUTHOR]

This paper reveals bright, dark and singular soliton solutions to the perturbed Gerdjikov-Ivanov equation by the aid of extended Kudryashov’s method. The nonlinear terms appear with full nonlinearity in order to give a generalized flavor to the model. As a byproduct of this scheme, plane waves and singular periodic solutions fall out and these solutions are listed as well. [ABSTRACT FROM AUTHOR]

This paper adopts the extended trial equation method to handle optical nonlinear negative-index materials that come with anti-cubic nonlinearity. In presence of Hamiltonian perturbation terms, soliton solutions are obtained. These are bright and singular solitons only. However, some additional wave solutions are also emerged. [ABSTRACT FROM AUTHOR]