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The First Integral Method to the Nonlinear Schrodinger Equations in Higher Dimensions
Author
El-Ganaini, Shoukry Ibrahim Atia
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-02-18
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The first integral method introduced by Feng is adopted for solving some important nonlinear partial differential equations, including the (2 + 1)-dimensional hyperbolic nonlinear Schrodinger (HNLS) equation, the generalized nonlinear Schrodinger (GNLS) equation with a source, and the higher-order nonlinear Schrodinger equation in nonlinear optical fibers.
This method provides polynomial first integrals for autonomous planar systems.
Through the established first integrals, exact traveling wave solutions are formally derived in a concise manner.
American Psychological Association (APA)
El-Ganaini, Shoukry Ibrahim Atia. 2013. The First Integral Method to the Nonlinear Schrodinger Equations in Higher Dimensions. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-464803
Modern Language Association (MLA)
El-Ganaini, Shoukry Ibrahim Atia. The First Integral Method to the Nonlinear Schrodinger Equations in Higher Dimensions. Abstract and Applied Analysis No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-464803
American Medical Association (AMA)
El-Ganaini, Shoukry Ibrahim Atia. The First Integral Method to the Nonlinear Schrodinger Equations in Higher Dimensions. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-464803
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-464803