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In the present work the propagation of bright solitons under the influence of third-order of linear dispersion and self-steepening effect in single-mode fibers is analytically studied. Such optical pulses can be observed as a result of the dynamic balance between higher orders of dispersive and nonlinear phenomena. New analytical solutions of the nonlinear amplitude equation (NAE) in the form of cnoidal waves are found. The solutions are presented by Jacobi elliptic delta functions. It is shown that at certain values of the parameter k, representing modulus of ellipticity, the solutions can be reduced to sech-soliton. [ABSTRACT FROM AUTHOR]

In the present work, the formation of optical vortex in waveguides, with spatial dependence of the nonlinear refractive index, is studied. The propagation of such type of laser pulses is governed by a system of amplitude equations for x and y components of the electrical field in which the effects of second-order dispersion and self-phase modulation are taken into account. The corresponding system of equations is solved analytically. New class of exact solutions, describing the generation of vortex structures in the optical fibers with spatial dependence of the nonlinear refractive index and anomalous dispersion, are found. These optical vortices admit only amplitude type singularities. Their stability is a result of the delicate balance between diffraction and nonlinearity, as well as nonlinearity and angular distribution. This kind of singularities can be observed as a depolarization of the vector field in the laser spot. [ABSTRACT FROM AUTHOR]

This paper reveals a complete spectrum of soliton solutions that emerges from the governing model studied with anti-cubic law of nonlinear refractive index. Jacobi's elliptic function scheme shall be implemented followed by a limiting approach for the corresponding modulus of ellipticity. The existence criteria for such solitons are also enumerated. [ABSTRACT FROM AUTHOR]

This paper retrieves a spectrum of soliton solutions propagating through magneto-optic waveguides that maintain a wide range of nonlinear refractive index structures. The implemented algorithm is the extended version of G ′ / G –expansion scheme. The existence criteria for such solitons are also presented. [ABSTRACT FROM AUTHOR]

This paper obtains the bright, singular and combo solitons solutions in birefringent fibers, with four-wave mixing, that maintains quadratic-cubic law of refractive of refractive index, by implementing traveling wave hypothesis. Adomian decomposition method is subsequently applied to the obtained results on bright solitons to display its numerical simulation with an impressive error measure. [ABSTRACT FROM AUTHOR]

This article is about the study of several types of solitions such as periodic soliton and solitary waves have been derived for sasa-satsuma equation by employing Riccati equation mapping technique. The significant model discusses the prolongation of femto-second pulses in optical fibers and also analyzes the prolongation, and connection of the ultra-short pulses in the sub-pico second or femto-second regime. We have also discussed Modulation instability (MI) analysis with the help of linear analysis of standard stability that illustrate all obtained outcomes are stable and exact. The computational work and accomplished outcomes portray the power and efficiency of this method. Furthermore, various other higher order dynamical models can be solved with the help of this simple, effective and powerful technique. [ABSTRACT FROM AUTHOR]

This paper studies bright highly dispersive optical solitons that are with nonlocal type of nonlinearity. The numerical scheme, adopted in the paper, is Laplace-Adomian method. The analytical results, reported earlier, and the numerical results from the current work, agree with an impressively small error measure. [ABSTRACT FROM AUTHOR]

Using a variational method, we have investigated the propagation characteristics of a chirped optical pulse in anomalously dispersive media possessing saturating nonlinearity. For the special case of uniform loss less media, the dynamics of the temporal width of the pulse is shown to be equivalent to an oscillator of unit mass which is executing its motion under some effective potential well. The potential is examined and four different types of behavior of the pulse width are noticed. The role of saturation parameter and the initial chirp in determining the propagation characteristics have been examined. It is found that, both high value of chirp and saturation are detrimental to stable pulse propagation. Particularly, the effect of chirp becomes severe with the increase in the value of saturation. We have shown that incorporation of saturation in the nonlinearity leads to the existence of bistable soliton. For the case of a lossy medium, net broadening of width takes place over many cycles of oscillation. The net broadening decreases with the increase in the value of saturation. [ABSTRACT FROM AUTHOR]

Here, collective variables approach is applied to obtain optical solitons in the presence of perturbation terms. Gaussian solitons are selected to retain the pulse to establish soliton setting. The numerical simulations of soliton parameters are performed for specific values of the Gaussian pulse parameters. [ABSTRACT FROM AUTHOR]

The extended trial function scheme is applied to retrieve soliton solutions to the perturbed nonlinear Schrödinger's equation with ten forms of fiber nonlinearity. Bright, dark and singular soliton solutions are retrieved that appear with their respective existence criteria. Some additional forms of nonlinear waves naturally emerge as a byproduct of the integration scheme. [ABSTRACT FROM AUTHOR]

This paper studies Chen-Lee-Liu equation in optical fibers by the aid of Laplace Adomian decomposition method. The search is for W-shaped solitons numerically. The numerical results together with high level accuracy plots are exhibited. [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 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]

Presents a correction to the article "Chirped Optical Pulse Propagation in Saturating Nonlinear Media" published in a previous issue of the journal "Optical and Quantum Electronics."