Results 111 to 120 of about 28,970 (207)

Solitary and soliton solutions of the nonlinear fractional Chen Lee Liu model with beta derivative

Scientific Reports
The nonlinear Chen-Lee-Liu (NCLL) model is a crucial mathematical model for assessing optical fiber communication systems. It incorporates various factors, including noise, dispersion, and nonlinearity, which can influence signal quality and data ...
Akhtar Hussain, Tarek F. Ibrahim, Faizah D. Alanazi, Waleed M. Osman, Arafa A. Dawood, Jorge Herrera   +5 more
doaj   +1 more source

Soliton propagation in optical metamaterials with nonlocal responses: A fractional calculus approach using (q,τ)-Mittag-Leffler functions

Partial Differential Equations in Applied Mathematics
This work investigates soliton solutions of nonlinear wave equations modeling light propagation in optical metamaterials with nonlocal nonlinear responses, incorporating external optical potentials.
Shaher Momani, Rabha W. Ibrahim
doaj   +1 more source

Optical solutions to time-fractional improved (2+1)-dimensional nonlinear Schrödinger equation in optical fibers

Scientific Reports
In this paper, we investigate the time-fractional improved (2+1)-dimensional nonlinear Schrödinger equation with power-law nonlinearity, group-velocity dispersion, and spatio-temporal dispersion in nonlinear optics.
Muhammad Amin S. Murad, Ali. H. Tedjani, Zhao Li, Ejaz Hussain   +3 more
doaj   +1 more source

Fractional dynamics and optical soliton propagation in mono-mode fibers via the Fokas system. [PDF]

Sci Rep
Iqbal N, Aldhabani MS, Alam N, Hamza AE, Mohammed WW, Hamoud AA.   +5 more
europepmc   +1 more source

Optical soliton solutions of the stochastic generalized nonlinear Schrödinger equation with arbitrary refractive index in Itô sense. [PDF]

Sci Rep
Trouba NT, Xu H, Alngar MEM, Shohib RMA, El-Meligy M, Zhu X, Sharaf M.   +6 more
europepmc   +1 more source

Optical soliton solutions, dynamical and sensitivity analysis for fractional perturbed Gerdjikov-Ivanov equation. [PDF]

Sci Rep
Shakeel M, Alshammari FS, Ahmadzai HG.
europepmc   +1 more source

Dynamical study of optical soliton solutions of time-fractional perturbed model in ultrafast optical fibers. [PDF]

Sci Rep
Ouahid L, Mohammad Nazar N, Abdou MA, Alshahrani M, Abdel-Baset AM, Emara MH, Kumar S, Hamid I.   +7 more
europepmc   +1 more source

Impact of Brownian motion on the optical soliton solutions for the three component nonlinear Schrödinger equation. [PDF]

Sci Rep
Baber MZ, Shahzad T, Mohammed WW, Ahmed N, Ceesay B, Yasin MW.   +5 more
europepmc   +1 more source

Optical soliton wave profiles for the (2 + 1)-dimensional complex modified Korteweg-de Vries system with the impact of fractional derivative via analytical approach. [PDF]

Sci Rep
Khan MI, Khan MA, Iqbal M, Alghabban WG, Aljohani A, Al-Dayel I, Ceesay B.   +6 more
europepmc   +1 more source

Constructing optical soliton wave structure and modulation instability analysis for coupled fractional Lakshmanan-Porsezian-Daniel equation with Kerr's law nonlinearity. [PDF]

Sci Rep
Aghazadeh A, Lakestani M.
europepmc   +1 more source