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This work presents an analytical study of the existence of solitons in non-Kerr law media modulated by the P T -symmetric mixed linear and nonlinear optical complex lattices. Four types of non-Kerr law nonlinearity are taken into account and these are parabolic law, power law, dual-power law as well as polynomial law. With the aid of inverse engineering method, various families of solitons are reported. The presented results are important for describing the propagation of optical solitons in parity-time-symmetric lattices. [ABSTRACT FROM AUTHOR]

The evolution of quasi-linear pulses in optical fibers, with strong dispersion management, is studied analytically. The nonlinear terms of the Gabitov–Turitsyn equations are analyzed asymptotically. In this paper, the polarization preserving fibers as well as the birefringent fibers are studied. Finally, the study is extended to the case of multiple channels, namely dispersion flattened fibers. The numerical simulations support the analysis. [Copyright &y& Elsevier]

This paper studies optical solitons and its perturbations that is governed by the generalized nonlinear Schro¨dinger's equation with non-Kerr law nonlinearities. The quasi-stationarity is applied, for the first time, to the non-Kerr law nonlinearity and an approximate solution is obtained. A few special cases of the non-Kerr law nonlinearities are considered. The study is conducted with nonlinear damping and saturable amplifiers which are treated as perturbation terms. Finally, the paper concludes with some numerical results. [Copyright &y& Elsevier]

We present solitary wave solutions of an extended nonlinear Schrödinger equation with higher-order odd (third-order) and even (fourth-order) terms by using an ansatz method. The including high-order dispersion terms have significant physical applications in fiber optics, the Heisenberg spin chain, and ocean waves. Exact envelope solutions comprise bright, dark and W-shaped solitary waves, illustrating the potentially rich set of solitary wave solutions of the extended model. Furthermore, we investigate the properties of these solitary waves in nonlinear and dispersive media. Moreover, specific constraints on the system parameters for the existence of these structures are discussed exactly. The results show that the higher-order dispersion and nonlinear effects play a crucial role for the formation and properties of propagating waves. [ABSTRACT FROM AUTHOR]

This paper obtains optical soliton solution to perturbed nonlinear Schrödinger's equation by modified simple equation method. There are four types of nonlinear fibers studied in this paper. They are Anti-cubic law, Quadratic-cubic law, Cubic-quintic-septic law and Triple-power law. Dark and singular soliton solutions are derived. Additional solutions such as singular periodic solutions also fall out of the integration scheme. [ABSTRACT FROM AUTHOR]

Exact soliton solutions in a class of derivative nonlinear Schrödinger equations including a pure quintic nonlinearity are investigated. By means of the coupled amplitude-phase formulation, we derive a nonlinear differential equation describing the evolution of the wave amplitude in the non-Kerr quintic media. The resulting amplitude equation is then solved to get exact analytical chirped bright, kink, antikink, and singular soliton solutions for the model. It is also shown that the nonlinear chirp associated with these solitons is crucially dependent on the wave intensity and related to self-steepening and group velocity dispersion parameters. Parametric conditions on physical parameters for the existence of chirped solitons are also presented. These localized structures exist due to a balance among quintic nonlinearity, group velocity dispersion, and self-steepening effects. [ABSTRACT FROM AUTHOR]

This paper obtains bright and singular optical soliton solutions in nonlinear negative-index materials that appears with quadratic-cubic nonlinearity. The applied integration algorithm is the extended trial equation. Additional waves such as plane waves, periodic singular waves also emerge as a byproduct of this scheme. [ABSTRACT FROM AUTHOR]

This paper obtains bright and singular optical soliton solutions to DWDM system in presence of four-wave mixing. The extended trial function scheme is adopted. The two types of nonlinear media studied are Kerr law and parabolic law. There are other types of waves that appears as a byproduct to this scheme. [ABSTRACT FROM AUTHOR]

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. [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 obtains bright, dark and singular dispersive optical soliton solutions with magneto-optic waveguides. The governing equation is the coupled Schrödinger-Hirota equation. The existence criteria of these solitons are also presented. Both Kerr law and power law of nonlinearity are considered. [ABSTRACT FROM AUTHOR]