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23245

On Solution of Nonlinear Cubic Non-Homogeneous Schrodinger Equation

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Last updated: 04 Jan 2025

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Abstract

In this paper, a perturbing nonlinear non-homogeneous Schrodinger equation is studied under limited time interval, complex initial conditions and zero Neumann conditions. The perturbation and Picard approximation methods together with the eigenfunction expansion and variational parameters methods are used to introduce an approximate solution for the perturbative nonlinear case for which a power series solution is proved to exist. Using Mathematica, the solution algorithm is tested through computing the possible orders of approximations. The method of solution is illustrated through case studies and figures.

DOI

10.21608/asat.2011.23245

Keywords

Nonlinear Schrodinger equation, perturbation, Eigenfunction expansion, Mathematica, Picard Approximation

Authors

First Name

Magdy

Last Name

El-Tawil

MiddleName

A.

Affiliation

Engineering Mathematics Department, Faculty of Engineering, Cairo University, Giza, Egypt.

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First Name

Sherif

Last Name

Nasr

MiddleName

E.

Affiliation

Engineering Mathematics Department, Faculty of Engineering, Fayoum University, Fayoum, Egypt.

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City

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Orcid

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First Name

H.

Last Name

El Zoheiry

MiddleName

-

Affiliation

Engineering Mathematics Department, Faculty of Engineering, Cairo University, Giza, Egypt.

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Volume

14

Article Issue

AEROSPACE SCIENCES & AVIATION TECHNOLOGY, ASAT - 14 – May 24 - 26, 2011

Related Issue

4330

Issue Date

2011-05-01

Receive Date

2019-01-01

Publish Date

2011-05-01

Page Start

1

Page End

16

Print ISSN

2090-0678

Online ISSN

2636-364X

Article File

ASAT_Volume 14_Issue AEROSPACE SCIENCES & AVIATION TECHNOLOGY, ASAT - 14 &nd….pdf

PDF . 306.1kB

Link

https://asat.journals.ekb.eg/article_23245.html

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https://asat.journals.ekb.eg/service?article_code=23245

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24

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Original Article

Type Code

737

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Journal

Publication Title

International Conference on Aerospace Sciences and Aviation Technology

Publication Link

https://asat.journals.ekb.eg/

MainTitle

On Solution of Nonlinear Cubic Non-Homogeneous Schrodinger Equation

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Article

Created At

22 Jan 2023