Solution of (3+1)-Dimensional Nonlinear Cubic Schrodinger Equation by Differential Transform Method
Joint Authors
Zedan, Hassan A.
Alghamdi, Mohammad Ali
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-04-19
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
Four-dimensional differential transform method has been introduced and fundamental theorems have been defined for the first time.
Moreover, as an application of four-dimensional differential transform, exact solutions of nonlinear system of partial differential equations have been investigated.
The results of the present method are compared very well with analytical solution of the system.
Differential transform method can easily be applied to linear or nonlinear problems and reduces the size of computational work.
With this method, exact solutions may be obtained without any need of cumbersome work, and it is a useful tool for analytical and numerical solutions.
American Psychological Association (APA)
Zedan, Hassan A.& Alghamdi, Mohammad Ali. 2012. Solution of (3+1)-Dimensional Nonlinear Cubic Schrodinger Equation by Differential Transform Method. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-1001674
Modern Language Association (MLA)
Zedan, Hassan A.& Alghamdi, Mohammad Ali. Solution of (3+1)-Dimensional Nonlinear Cubic Schrodinger Equation by Differential Transform Method. Mathematical Problems in Engineering No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-1001674
American Medical Association (AMA)
Zedan, Hassan A.& Alghamdi, Mohammad Ali. Solution of (3+1)-Dimensional Nonlinear Cubic Schrodinger Equation by Differential Transform Method. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-1001674
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1001674