A Comprehensive Study of Soliton Pulse Propagation Using Modified Differential Transform Methods  

作　　者：Entsar El-Shazly Ahmed Abo-Elenin Ibrahim El-Kalla Entsar El-Shazly;Ahmed Abo-Elenin;Ibrahim El-Kalla(Basic Science Department, Misr Higher Institute for Engineering and Technology, Mansoura, Egypt;Physics & Engineering Mathematics Department, Faculty of Engineering, Mansoura University, Mansoura, Egypt)

机构地区：[1]Basic Science Department, Misr Higher Institute for Engineering and Technology, Mansoura, Egypt [2]Physics & Engineering Mathematics Department, Faculty of Engineering, Mansoura University, Mansoura, Egypt

出　　处：《Journal of Applied Mathematics and Physics》2024年第12期4183-4197,共15页应用数学与应用物理(英文)

摘　　要：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.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.

关 键 词：Soliton Pulse Parabolic Law Medium Differential Transform Method Bright Solution Dark Solution Schrödinger Equation Radhakrishnan-Kundu-Laksmannan 

分 类 号：O17[理学—数学]