Optical Solitons with Parabolic and Weakly Nonlocal Law of Self-Phase Modulation by Laplace-Adomian Decomposition Method  

作　　者：Oswaldo González-Gaxiola Anjan Biswas Ahmed H.Arnous Yakup Yildirim 

机构地区：[1]Applied Mathematics and Systems Department,Universidad Autonoma Metropolitana-Cuajimalpa,Vasco de Quiroga 4871,Mexico City,05348,Mexico [2]Department of Mathematics and Physics,Grambling State University,Grambling,LA 71245-2715,USA [3]Department of Applied Sciences,Cross-Border Faculty of Humanities,Economics and Engineering,Dunarea de Jos University of Galati,Galati,800201,Romania [4]Department of Mathematics and Applied Mathematics,Sefako Makgatho Health Sciences University,Pretoria,0204,South Africa [5]Department of Physics and Engineering Mathematics,Higher Institute of Engineering,El-Shorouk Academy,Cairo,11837,Egypt [6]Department of Computer Engineering,Biruni University,Istanbul,34010,Turkey [7]Mathematics Research Center,Near East University,Nicosia,99138,Cyprus

出　　处：《Computer Modeling in Engineering & Sciences》2025年第3期2513-2525,共13页工程与科学中的计算机建模(英文)

摘　　要：Computational modeling plays a vital role in advancing our understanding and application of soliton theory.It allows researchers to both simulate and analyze complex soliton phenomena and discover new types of soliton solutions.In the present study,we computationally derive the bright and dark optical solitons for a Schrödinger equation that contains a specific type of nonlinearity.This nonlinearity in the model is the result of the combination of the parabolic law and the non-local law of self-phase modulation structures.The numerical simulation is accomplished through the application of an algorithm that integrates the classical Adomian method with the Laplace transform.The results obtained have not been previously reported for this type of nonlinearity.Additionally,for the purpose of comparison,the numerical examination has taken into account some scenarios with fixed parameter values.Notably,the numerical derivation of solitons without the assistance of an exact solution is an exceptional take-home lesson fromthis study.Furthermore,the proposed approach is demonstrated to possess optimal computational accuracy in the results presentation,which includes error tables and graphs.It is important tomention that themethodology employed in this study does not involve any form of linearization,discretization,or perturbation.Consequently,the physical nature of the problem to be solved remains unaltered,which is one of the main advantages.

关 键 词：Soliton solutions parabolic law nonlinearity weakly nonlocal Schrödinger equation laplace-adomian decomposition method 

分 类 号：O437[机械工程—光学工程]