The Mapping Method for Solving a New Model of Nonlinear Partial Differential Equation

Abstract

In this paper we present a new model of Benjamin-Bona-Mahony (BBM) equation. Then we apply the mapping method to solve the new model. Exact travelling wave solutions are obtained and expressed in terms of hyperbolic functions, trigonometric functions, rational functions and elliptic functions.

New Travelling Wave Solutions for New Potential Nonlinear Partial Differential Equations

“…In order to get exact solutions directly, many powerful methods have been introduced such as the mapping method [3] and [4], the G ′ G -expansion method [5], inverse scattering method [6] and [7], Hirota's bilinear method [8] and [9], the tanh method [10] and [11], the sine-cosine method [12] and [13], Backlund transformation method [14] and [15], the homogeneous balance [16] and [17], Darboux transformation [18], the Jacobi elliptic function expansion method [19], the first integral method [20], and the multiple simplest equation method [21].…”