Results 111 to 120 of about 29,462 (205)

Analytical solutions of the space–time fractional Kundu–Eckhaus equation by using modified extended direct algebraic method

Partial Differential Equations in Applied Mathematics
The study of soliton solutions for Nonlinear Fractional Partial Differential Equations (NFPDEs) has gained prominence recently because of its ability to realistically recreate complex physical processes. Numerous mathematical techniques have been devised
Muhammad Bilal, Javed Iqbal, Kamal Shah, Bahaaeldin Abdalla, Thabet Abdeljawad, Ikram Ullah   +5 more
doaj   +1 more source

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

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

Exploring the new classes of optical soliton solutions with diverse structure for the (2+1)-dimensional paraxial equation in fiber optics via two analytical methods. [PDF]

Sci Rep
Ibrahim IS, Sabi'u J, Iqbal M, Sulaiman S, Alghabban WG, Gouadria S, Nazar NM.   +6 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

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

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

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