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This paper obtains optical soliton solutions to the Kundu–Eckhaus equation with general coefficients. The Riccati–Bernoulli's sub-ODE method as well as Kudryashov's scheme are employed to obtain soliton solutions to the model. This generalized earlier reported result of the model with specific coefficients. Subsequently, the multiplier approach was utilized to secure a conserved quantity with the bright soliton solution that was reported earlier. [ABSTRACT FROM AUTHOR]

This paper obtains soliton solutions to the perturbed nonlinear Schrödinger's equation with quadratic-cubic nonlinearity. Two integration algorithms are employed. They are Riccati-Bernoulli sub-ODE method and Kudryashov's scheme. This leads to dark, singular and several other forms of soliton solutions that are being reported for the first time in this paper. [ABSTRACT FROM AUTHOR]

This paper employed three integration schemes to obtain soliton solutions in optical fibers with anti-cubic nonlinearity. These are traveling waves, tanh-coth scheme and finally the modified simple equation method. These yielded bright solitons, singular solitons, dark-singular combo solitons and other waves. The existence criteria for these solitons are presented. The paper concludes with a discussion on conservation laws. [ABSTRACT FROM AUTHOR]

This paper utilizes trial solution algorithm to secure optical soliton solutions to the nonlinear Schrödinger’s equation. Bright, dark and singular soliton solutions are obtained to the model that is considered with four forms of nonlinearity. They are Kerr, power, parabolic and dual-power laws. There are constraint conditions that guarantee the existence of these solitons. Additionally, singular periodic solutions are revealed as a by-product of this approach, and these are also listed. [ABSTRACT FROM AUTHOR]

This paper obtains soliton solutions in optical couplers. The governing equation is solved by the aid of G′/G-expansion scheme. There are four types of nonlinear media that are taken into consideration. These are Kerr law, power law, parabolic law, and dual-power law. There are two kinds optical couplers studied in this paper. They are twin-core couplers and multiple-core couplers, where coupling with nearest neighbors as well as coupling with all neighbors are considered. Dark and singular soliton solutions are retrieved. These soliton solutions come with constraint conditions that must hold for the solitons to exist. [ABSTRACT FROM AUTHOR]

The soliton dynamics in optical fibers with Fokas–Lenells equation is illustrated in this paper. Bright, dark and singular soliton solutions are retrieved along with few forms of combo-soliton solutions that also naturally emerged from the three integration schemes applied to the model. The existence criteria of these solitons are also presented. [ABSTRACT FROM AUTHOR]

This paper secures dark and singular resonant optical solitons that is studied with dual-power law nonlinearity and fractional temporal evolution. Khalil's conformable fractional derivative is put into perspective to retrieve these soliton solutions. The parameter restrictions for the existence of such solitons are also indicated. [ABSTRACT FROM AUTHOR]

This paper studies fractional temporal evolution of optical solitons with quadratic–cubic nonlinearity that comes with a few perturbation terms. Khalil's conformable fractional derivative as well as Liu's extended trial function scheme are applied to retrieve these soliton solutions. The results are applicable to mitigate Internet bottleneck that is a growing problem in telecommunications industry. [ABSTRACT FROM AUTHOR]

This paper obtains exact bright, dark and singular dispersive optical soliton solutions to DWDM system that is studied with spatio-temporal dispersion in addition to group-velocity dispersion. The governing model is Schrödinger–Hirota equation. The method of undetermined coefficients is employed to secure these soliton solutions that appear with necessary constraints for their existence. [ABSTRACT FROM AUTHOR]