Work

Computational and numerical analysis of the fractional three-components nonlinear Schrödinger equation with singular and non-singular kernels

Year: 2024

Type: article

Abstract: This work offer a computational approach to the coupled nonlinear Shrödinger equation (CNLSE) by utilizing fractional operators and double Laplace Adomian decomposition method (DLTADM). Three various fractional operators i.e Caputo, Caputo–Fabrizio (CF) and Atangana–Baleanu Caputo (ABC) are used for studying the approximate solution of the CNLSE. Dynamics of solutions are provided via graphical examples that depict system behavior. Graphs of the deduced results portray dark soliton dynamics for various fractional values. The robustness of the applied approach is studied via comparative analysis of error estimations between exact and derived results via tables and 2D graphs.

Source: Partial Differential Equations in Applied Mathematics

DOI: 10.1016/j.padiff.2024.100901

Authors: Asif Khan, Abid Ullah Khan, Aqsa Faryad, Uroosa Faryad, Shabir Ahmad

Institutions: University of Malakand, Lahore College for Women University, Lahore Leads University

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,230

OpenAlex ID: W4402037442

FWCI: 1.419

Cites: 24

Cited by: 4

Related to: 10