In this paper, employed exp-function method and F-expansion method, we study the BBM(m,n) equation with generalized evolution, four families of exact solutions of exp-function type are obtained. Under different parametric conditions, every family of solution can be reduced to some solitary wave solutions and periodic wave solutions. The results presented in this paper improve the previous resul...

We use the fractional transformation to convert the nonlinear partial fractional differential equations with the nonlinear ordinary differential equations. The Exp-function method is extended to solve fractional partial differential equations in the sense of the modified Riemann-Liouville derivative. We apply the Exp-function method to the time fractional Sharma-Tasso-Olver equation, the space ...

In this paper, a generalized variable coefficient Gardner equation is investigated. Exp-function method combined with F-expansion method are used to determine six families of exact solutions of exp-function type for this equation. Under different parametric conditions, every family of solution can be reduced to some solitary wave solutions and periodic wave solutions. The results presented in t...

In most cases authors are permitted to post their version of the article (e.g. in Word or Tex form) to their personal website or institutional repository. Authors requiring further information regarding Elsevier's archiving and manuscript policies are encouraged to visit: a b s t r a c t The Exp-function method has been applied to solve many functional equations so far. But it has not been used...

Exp-function and other standard function methods for solving nonlinear differential equations are generalized in this paper. An analytical criterion determining if a solution can be expressed in a form comprising standard functions is derived. New computational algorithm for automatic identification of the structure of the solution is constructed. The algorithm provides information if the solut...

In the recent years, many direct methods have been developed to construct travelling wave solutions to the nonlinear partial differential equations (NLPDEs), such as the trigonometric function series method [1, 2], the modified mapping method and the extended mapping method [3], the modified trigonometric function series method [4], the dynamical system approach and the bifurcation method [5], ...

In this paper, the Exp-function method is used to seek generalized solitonary solutions of Riccati equation. Based on the generalized solitonary solutions of Riccati equation, some new exact solutions of the the classical Drinfel’d-Sokolov-Wilson equation are obtained by F-expansion method. It is shown that the F-expansion method combined with Expfunction method (F-Exp method) provides a straig...

In this paper, Exp-function and (G′/G)expansion methods are presented to derive traveling wave solutions for a class of nonlinear space-time fractional differential equations. As a results, some new exact traveling wave solutions are obtained.