Bright Soliton Solution of (1+1)-Dimensional Quantum System with Power-Law Dependent Nonlinearity

Abstract

We study the nonlinear dynamics of (1+1)-dimensional quantum system in power-law dependent media based on the nonlinear Schrödinger equation (NLSE) incorporating power-law dependent nonlinearity, linear attenuation, self-steepening terms, and third-order dispersion term. The analytical bright soliton solution of this NLSE is derived via the F-expansion method. The key feature of the bright soliton solution is pictorially demonstrated, which together with typical analytical formulation of the soliton solution shows the applicability of our theoretical treatment.

Solitons transmission system : A dynamic shift in optical fiber communication

“…Optical system of micro ring resonator is presented to create femto-second (fs) memory time of optical solitons. Solitons pulse are in the form of a bright solitons (23) and inserted into micro ring resonator, then Micro ring resonator generate a highly chaotic signal and sliced it into ultra-short single and multi-solitons capacity of optical solitons pulse in pico and femto-seconds can be execute using the projected method. Systematic ultra-fast optical solitons can be used to create optical quantum memory (24)…”

Optical soliton solutions of the generalized sine-Gordon equation

“…Recently, the study of nonlinear evolution equations with respect to the mathematical modeling of various physical phenomena has become very important in some physical and engineering applications such as water waves [1], plasma physics [2], nonlinear optics [3], and so on. Various methods [4][5][6][7][8][9][10][11][12][13][14][15][16] have been applied to construct the optical soliton solutions to nonlinear differential equations. Examples of some methods that have been used so far are the inverse scattering method, similarity transformation, generalized Jacob elliptic function expansion method, exp-function method, extended F-expansion method, different versions of (G ′ /G)expansion method, Kudryashov's method, ansatz method, and the others.…”

“…Examples of some methods that have been used so far are the inverse scattering method, similarity transformation, generalized Jacob elliptic function expansion method, exp-function method, extended F-expansion method, different versions of (G ′ /G)expansion method, Kudryashov's method, ansatz method, and the others. Bright optical soliton, dark optical soliton, compactons, singular solitons, doubly-periodic solutions, and other optical solutions have been discovered by use of the above-mentioned methods [4][5][6][7][8][9][10][11][12][13][14][15][16]. The optical soliton solutions are very significant and seem in assorted areas of physics, engineering, and applied sciences.…”