On Perturbative Cubic Nonlinear Schrodinger Equations under Complex Nonhomogeneities and Complex Initial Conditions
Joint Authors
El-Tawil, Magdy A.
El-Hazmy, Maha A.
Source
Differential Equations and Nonlinear Mechanics
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-29, 29 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-09-29
Country of Publication
Egypt
No. of Pages
29
Main Subjects
Abstract EN
A perturbing nonlinear Schrodinger equation is studied under general complex nonhomogeneities and complex initial conditions for zero boundary conditions.
The perturbation method 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 symbolic solution algorithm is tested through computing the possible approximations under truncation procedures.
The method of solution is illustrated through case studies and figures.
American Psychological Association (APA)
El-Tawil, Magdy A.& El-Hazmy, Maha A.. 2009. On Perturbative Cubic Nonlinear Schrodinger Equations under Complex Nonhomogeneities and Complex Initial Conditions. Differential Equations and Nonlinear Mechanics،Vol. 2009, no. 2009, pp.1-29.
https://search.emarefa.net/detail/BIM-468798
Modern Language Association (MLA)
El-Tawil, Magdy A.& El-Hazmy, Maha A.. On Perturbative Cubic Nonlinear Schrodinger Equations under Complex Nonhomogeneities and Complex Initial Conditions. Differential Equations and Nonlinear Mechanics No. 2009 (2009), pp.1-29.
https://search.emarefa.net/detail/BIM-468798
American Medical Association (AMA)
El-Tawil, Magdy A.& El-Hazmy, Maha A.. On Perturbative Cubic Nonlinear Schrodinger Equations under Complex Nonhomogeneities and Complex Initial Conditions. Differential Equations and Nonlinear Mechanics. 2009. Vol. 2009, no. 2009, pp.1-29.
https://search.emarefa.net/detail/BIM-468798
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-468798