Application of the Exp-Function Method for the KP-BBM Equation and its Generalized Form

[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.

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.

The Exp-Function Method, KP–BBM Equation and Its Generalized Form, Solitary and Periodic Solutions

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