Computational simulation for the (1 + 1)-dimensional Ito equation arising quantum mechanics and nonlinear optics

This research paper investigates the numerical solutions of the (1 + 1)-dimensional Ito equation through the extended simplest equation (ESE) method. This model is considered as well-known in quantum mechanics and nonlinear optics, which represents the height of the water’s free surface above a flat...

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Main Authors:	Mostafa M.A. Khater, Dianchen Lu, Y.S. Hamed
Format:	Article
Language:	English
Published:	Elsevier 2020-12-01
Series:	Results in Physics
Subjects:	Nonlinear (1 + 1)-dimensional Ito equation Computational simulations Traveling wave solutions
Online Access:	http://www.sciencedirect.com/science/article/pii/S2211379720320143

id	doaj-c806a61a3e8646b89fdc043bdfc5b08c
record_format	Article
spelling	doaj-c806a61a3e8646b89fdc043bdfc5b08c2020-12-25T05:08:56ZengElsevierResults in Physics2211-37972020-12-0119103572Computational simulation for the (1 + 1)-dimensional Ito equation arising quantum mechanics and nonlinear opticsMostafa M.A. Khater0Dianchen Lu1Y.S. Hamed2Department of Mathematics, Faculty of Science, Jiangsu University, 212013, Zhenjiang, China; Department of Mathematics, Obour Institutes, 11828, Cairo, Egypt; Corresponding author at: Department of Mathematics, Faculty of Science, Jiangsu University, 212013, Zhenjiang, China.Department of Mathematics, Faculty of Science, Jiangsu University, 212013, Zhenjiang, ChinaDepartment of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia; Department of Physics and Engineering Mathematics, Faculty of Electronic Engineering, Menoua University, Menouf 32952, EgyptThis research paper investigates the numerical solutions of the (1 + 1)-dimensional Ito equation through the extended simplest equation (ESE) method. This model is considered as well-known in quantum mechanics and nonlinear optics, which represents the height of the water’s free surface above a flat bottom. The obtained solitary solutions emerge the localized wave packet as a persistent and dominant feature. Diverse novel computational solutions are constructed and demonstrated through three distinct types of sketches. The stability of our obtained solutions is investigated by using Hamiltonian system’s characterizations. The novelty of our paper is explained by comparing our obtained solutions with the previously evaluated computational solutions with different computational schemes.http://www.sciencedirect.com/science/article/pii/S2211379720320143Nonlinear (1 + 1)-dimensional Ito equationComputational simulationsTraveling wave solutions
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Mostafa M.A. Khater Dianchen Lu Y.S. Hamed
spellingShingle	Mostafa M.A. Khater Dianchen Lu Y.S. Hamed Computational simulation for the (1 + 1)-dimensional Ito equation arising quantum mechanics and nonlinear optics Results in Physics Nonlinear (1 + 1)-dimensional Ito equation Computational simulations Traveling wave solutions
author_facet	Mostafa M.A. Khater Dianchen Lu Y.S. Hamed
author_sort	Mostafa M.A. Khater
title	Computational simulation for the (1 + 1)-dimensional Ito equation arising quantum mechanics and nonlinear optics
title_short	Computational simulation for the (1 + 1)-dimensional Ito equation arising quantum mechanics and nonlinear optics
title_full	Computational simulation for the (1 + 1)-dimensional Ito equation arising quantum mechanics and nonlinear optics
title_fullStr	Computational simulation for the (1 + 1)-dimensional Ito equation arising quantum mechanics and nonlinear optics
title_full_unstemmed	Computational simulation for the (1 + 1)-dimensional Ito equation arising quantum mechanics and nonlinear optics
title_sort	computational simulation for the (1 + 1)-dimensional ito equation arising quantum mechanics and nonlinear optics
publisher	Elsevier
series	Results in Physics
issn	2211-3797
publishDate	2020-12-01
description	This research paper investigates the numerical solutions of the (1 + 1)-dimensional Ito equation through the extended simplest equation (ESE) method. This model is considered as well-known in quantum mechanics and nonlinear optics, which represents the height of the water’s free surface above a flat bottom. The obtained solitary solutions emerge the localized wave packet as a persistent and dominant feature. Diverse novel computational solutions are constructed and demonstrated through three distinct types of sketches. The stability of our obtained solutions is investigated by using Hamiltonian system’s characterizations. The novelty of our paper is explained by comparing our obtained solutions with the previously evaluated computational solutions with different computational schemes.
topic	Nonlinear (1 + 1)-dimensional Ito equation Computational simulations Traveling wave solutions
url	http://www.sciencedirect.com/science/article/pii/S2211379720320143
work_keys_str_mv	AT mostafamakhater computationalsimulationforthe11dimensionalitoequationarisingquantummechanicsandnonlinearoptics AT dianchenlu computationalsimulationforthe11dimensionalitoequationarisingquantummechanicsandnonlinearoptics AT yshamed computationalsimulationforthe11dimensionalitoequationarisingquantummechanicsandnonlinearoptics
_version_	1724371249765810176

Computational simulation for the (1 + 1)-dimensional Ito equation arising quantum mechanics and nonlinear optics

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