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This paper secures bright-singular combo highly dispersive optical solitons by the application of exponential-function method. Several other solutions also emerged from the scheme although they are not applicable in nonlinear optics. The solitons appear with their respective integrability criteria that are also presented in this work. [ABSTRACT FROM AUTHOR]

Abstract This paper retrieves chirped singular and bright-singular combo optical soliton solutions to the Chen–Lee–Liu equation. Three forms of independent intregration schemes are implemented to the model. They are csch function scheme, tanh–coth method and finally the modified simple equation approach. The integrability criteria for these are also presented. [ABSTRACT FROM AUTHOR]

Abstract This paper retrieves optical soliton solutions to the perturbed Fokas–Lenells equation by the application of several forms of mapping methods. The solutions are initially in terms of Jacobi's elliptic function and in the limiting case of the modulus of ellipticity, soliton solutions are recovered. These solitons appear with their respective integrability criteria, which are written as constraints. [ABSTRACT FROM AUTHOR]

Abstract We investigate the Kaup-Newell equation that represents one of the forms of derivative nonlinear Schrödinger equation. The model applies to the description of sub-pico-second pulse propagation through an optical fiber. A special complex envelope traveling-wave method is applied to find a nonlinear equation with a fifth-degree nonlinear term describing the dynamics of field amplitude in the nonlinear media. It is shown that the phase associated to the obtained pulses has a nontrivial form and possesses two intensity dependent chirping terms in addition to the simplest linear contribution. A class of soliton solutions of the bright, dark and singular type are derived for the first time. The requirements concerning the optical material parameters for the existence of these chirped structures are also discussed. [ABSTRACT FROM AUTHOR]

Abstract This paper lists the conservation laws for optical solitons that are studied with anti-cubic nonlinearity and its generalized counterpart. The laws are given in terms of Gauss' hypergeometric functions. [ABSTRACT FROM AUTHOR]

Dark and bright with singular solitons shall be yielded to Fokas–Lenells equation which describes soliton dynamics in optical fibers. The two integration schemes that are applied in this context are the modified simple equation method and the trial equation method. Additional solutions, besides, optical solitons, are recovered. [ABSTRACT FROM AUTHOR]

In this study, soliton solutions with differential group delay, having parabolic law nonlinearity, are constructed. The exp(− ϕ ( ξ ))-expansion method has been utilized. Additional solutions, including plane wave solutions and periodic singular waves naturally emerge from the integration scheme. [ABSTRACT FROM AUTHOR]

This study carries out the integration of Gerdjikov–Ivanov equation. The csch method, the extended tanh–coth method, and the modified simple equation method are utilized to extract the analytical soliton solutions. [ABSTRACT FROM AUTHOR]

This paper obtains bright, dark, singular and other combo optical soliton solutions to perturbed Kaup–Newell equation. Two strategic integration schemes are fruitfully applied to obtain these solutions. These solitons appear with constraint conditions on the soliton parameters that are also presented. [ABSTRACT FROM AUTHOR]

Chirp-free bright optical soliton solutions are obtained for Chen–Lee–Liu equation by traveling wave hypothesis as well as the application of semi-inverse variational principle. The constraint conditions for the existence of these solitons are also presented. [ABSTRACT FROM AUTHOR]

This paper reveals dark and singular optical solitons, as well as their combinations thereof, of the perturbed Kundu–Eckhaus equation. Two integration methodologies are adopted here. The existence criteria for these solitons are also presented. [ABSTRACT FROM AUTHOR]

This paper obtains chirp-free bright optical soliton solutions to Radhakrishnan–Kundu–Lakshmanan equation by traveling wave hypothesis along with the technical criteria for the existence of such solitons. The speed of the soliton also emerges from the constraint condition. [ABSTRACT FROM AUTHOR]

This paper obtains bright, dark and singular optical soliton solutions to the Lakshmanan–Porsezian–Daniel model that describes soliton propagation through polarization-mode dispersive fibers, without the effect of four-wave mixing. The method of undetermined coefficients is employed to retrieve these soliton solutions. The existence criteria for these solitons are also presented. [ABSTRACT FROM AUTHOR]

This paper applies extended trial function method to obtain stationary optical soliton solutions when group velocity dispersion is nonlinear. There are four forms of nonlinear media that are studied in this paper. [ABSTRACT FROM AUTHOR]

This paper retrieves optical soliton solutions for anti-cubic nonlinear fibers. The mapping methods have been implemented to secure these solitons that are also classified. Three types of mapping methods are implemented. [ABSTRACT FROM AUTHOR]

This paper employs extended trial function method to extract soliton solutions to the vector-coupled Lakshmanan–Porsezian–Daniel model in birefringent fibers. The existence of these solitons is guaranteed with the integrability criteria that are also presented. [ABSTRACT FROM AUTHOR]