TITLE:
A Comprehensive Study of Soliton Pulse Propagation Using Modified Differential Transform Methods
AUTHORS:
Entsar El-Shazly, Ahmed Abo-Elenin, Ibrahim El-Kalla
KEYWORDS:
Soliton Pulse, Parabolic Law Medium, Differential Transform Method, Bright Solution, Dark Solution, Schrödinger Equation, Radhakrishnan-Kundu-Laksmannan
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.12 No.12,
December
26,
2024
ABSTRACT: In this article, a modified version of the Differential Transform Method (DTM) is employed to examine soliton pulse propagation in a weakly non-local parabolic law medium and wave propagation in optical fibers. This semi-analytic method has the advantage of overcoming the obstacle of the hardest nonlinear terms and is used to explain the origin of the bright and dark soliton solutions through the Schrödinger equation in its non-local form and the Radhakrishnan-Kundu-Laksmannan (RKL) equation. Numerical examples demonstrate the effectiveness of this method.