New Exact Solutions of Some Nonlinear Systems of Partial Differential Equations Using the First Integral Method
Author
El-Ganaini, Shoukry Ibrahim Atia
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-23
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
The first integral method introduced by Feng is adopted for solving some important nonlinear systems of partial differential equations, including classical Drinfel'd-Sokolov-Wilson system (DSWE), (2 + 1)-dimensional Davey-Stewartson system, and generalized Hirota-Satsuma coupled KdV system.
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.
This method can also be applied to nonintegrable equations as well as integrable ones.
American Psychological Association (APA)
El-Ganaini, Shoukry Ibrahim Atia. 2013. New Exact Solutions of Some Nonlinear Systems of Partial Differential Equations Using the First Integral Method. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-491071
Modern Language Association (MLA)
El-Ganaini, Shoukry Ibrahim Atia. New Exact Solutions of Some Nonlinear Systems of Partial Differential Equations Using the First Integral Method. Abstract and Applied Analysis No. 2013 (2013), pp.1-13.
https://search.emarefa.net/detail/BIM-491071
American Medical Association (AMA)
El-Ganaini, Shoukry Ibrahim Atia. New Exact Solutions of Some Nonlinear Systems of Partial Differential Equations Using the First Integral Method. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-491071
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-491071
