Optical Solitons in Fiber Bragg Gratings for Fractional Nonlinear Schrödinger Equation with Generalized Anti-cubic Nonlinearity using Conformable Derivative
نویسندگان
چکیده
This work explores Kink soliton solution, periodic and rational function solutions for the fractional generalized anti-cubic (FGAC) nonlinearity in fiber Bragg gratings (BGs). The ((D_ζ^α G)/G)-expansion method is employed conjunction with idea of a conformable derivative. Due to its nature, solution looks have some restrictions.
منابع مشابه
Envelope Solitons of Nonlinear Schrödinger Equation with an Anti-cubic Nonlinearity
On the basis of a recently-proposed method to find solitary solutions of generalized nonlinear Schrödinger equations [1]-[3], the existence of an envelope solitonlike solutions of a nonlinear Schrödinger equation containing an anti-cubic nonlinearity (|Ψ|−4Ψ) plus a ”regular” nonlinear part is investigated. In particular, in case the regular nonlinear part consists of a sum of a cubic and a qui...
متن کاملSolitons in Bragg Gratings with Saturable Nonlinearity
Coupled-mode equations for two waves coupled by the Bragg reflection in the presence of saturable nonlinearity are introduced. Stable solitons and their bound states fill a part of the bandgap, their collisions being quasi-elastic. OCIS codes: (060.4370) Nonlinear optics, fibers, (190.5530) Pulse propagation and soliton, (350.2770) Gratings
متن کاملNonlinear Fiber Bragg Gratings
In this paper we review some of the dominant topics in fiber Bragg gratings (FBGs). The combination of theory and simulations shows that these structures can use in filters, nonlinear fiber optical applications, soliton propagations etc. We discussed the theory of FBGs, grating solitons, Bragg soliton generation in intrinsic media and birefringence effects in FBGs together with some numerical s...
متن کاملInteraction of Bragg solitons in fiber gratings
We investigate numerically the interaction between two copropagating Bragg solitons in a fiber grating. We find that, in the low-intensity limit, the interaction is reminiscent of the nonlinear Schrödinger solitons in that Bragg solitons attract or repel each other, depending on their relative phases. However, the relative phase between two Bragg solitons is found to depend on their initial sep...
متن کاملResonant nonlinearity management for nonlinear Schrödinger solitons.
We consider effects of a periodic modulation of the nonlinearity coefficient on fundamental and higher-order solitons in the one-dimensional NLS equation, which is an issue of direct interest to Bose-Einstein condensates in the context of the Feshbach-resonance control, and fiber-optic telecommunications as concerns periodic compensation of the nonlinearity. We find from simulations, and explai...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of mathematics and statistics studies
سال: 2023
ISSN: ['2709-4200']
DOI: https://doi.org/10.32996/jmss.2023.4.2.1