Analytical Approach to the Modified Equal Width Equation

The modified equal width (MEW) equation arising from the nonlinear media with dispersion process has been paid special attention in the past decades [1, 2, 3, 4, 5]. Since its wide applications and important mathematical properties, many methods have been presented to study the different solutions and physical phenomena related to this equation. By using the Petrov-Galerkin method together with quintic B-spline finite elements, S.I. Zaki provided its solitary wave interactions. A.M. Wazwaz considered different solutions by means of the tanh and the sine-cosine methods, respectively. In addition, B. Saka gave its numerical solutions by using collocation method. Different with the existing methods, we will provide an new analytical approach to solve the MEW equation as follows