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Solitary Wave Solutions of the Boussinesq Equation and Its Improved Form
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-17
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
This paper presents the general case study of previous works on generalized Boussinesq equations, (Abazari, 2011) and (Kılıcman and Abazari, 2012), that focuses on the application of G′/G-expansion method with the aid of Maple to construct more general exact solutions for the coupled Boussinesq equations.
In this work, the mentioned method is applied to construct more general exact solutions of Boussinesq equation and improved Boussinesq equation, which the French scientist Joseph Valentin Boussinesq (1842–1929) described in the 1870s model equations for the propagation of long waves on the surface of water with small amplitude.
Our work is motivated by the fact that the G′/G-expansion method provides not only more general forms of solutions but also periodic, solitary waves and rational solutions.
The method appears to be easier and faster by means of a symbolic computation.
American Psychological Association (APA)
Abazari, Reza& Kiliçman, Adem. 2013. Solitary Wave Solutions of the Boussinesq Equation and Its Improved Form. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-1009481
Modern Language Association (MLA)
Abazari, Reza& Kiliçman, Adem. Solitary Wave Solutions of the Boussinesq Equation and Its Improved Form. Mathematical Problems in Engineering No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-1009481
American Medical Association (AMA)
Abazari, Reza& Kiliçman, Adem. Solitary Wave Solutions of the Boussinesq Equation and Its Improved Form. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-1009481
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1009481