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Application of the Exp-Function Method for the KP-BBM Equation and its Generalized Form
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Volume 1, 2014
Issue 3 (July)
Pages: 17-23   |   Vol. 1, No. 3, July 2014   |   Follow on
Paper in PDF Downloads: 43   Since Aug. 28, 2015 Views: 1934   Since Aug. 28, 2015
Authors
[1]
Jalil Manafian, University of Applied Science and Technology of IDEM, Tabriz, Iran.
[2]
Reza Shahabi, University of Applied Science and Technology of IDEM, Tabriz, Iran.
[3]
Negar Norbakhsh, Department of Applied Mathematics, , University of Tabriz, Tabriz, Iran.
[4]
Isa Zamanpour, Department of Mathematics, College of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.
[5]
Jalal Jalali, Department of Mathematics, College of Mathematics, Ahar Branch, Islamic Azad University, Ahar, Iran.
Abstract
In this article, He’s Exp-function method (EFM) is used to construct solitary and periodic solutions of the nonlinear evolution equation. The KP–BBM equation and its generalized form are chosen to illustrate the effectiveness of this method. This method is straightforward and concise and its applications are promising. This method is developed for searching exact travelling wave solutions of the nonlinear partial differential equations. The EFM presents a wider applicability for handling nonlinear wave equations. Also, it is shown that the EFM, with the help of symbolic computation, provides a straightforward and powerful mathematical tool for solving nonlinear evolution equations.
Keywords
The Exp-Function Method, KP–BBM Equation and Its Generalized Form, Solitary and Periodic Solutions
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