One of old methods for finding exact solutions of nonlinear differential equations is
considered. Modifications of the method are discussed. Application of the method is …

A multiple exp-function method for exact multiple wave solutions of nonlinear partial
differential equations is proposed. The method is oriented towards the ease of use and …

Under the current research, the local fractional (3+ 1)-dimensional modified Zakharov–
Kuznetsov equation (MZKE) is explored. With the Mittag–Leffler function (MLF) defined on …

The periodic wave solutions to a coupled KdV equations with variable coefficients are
obtained by using F-expansion method which can be thought of as an over-all …

In this Letter, a generalized (G′ G)-expansion method is proposed to seek exact solutions
of nonlinear evolution equations. Being concise and straightforward, this method is applied …

The Jacobi elliptic function method with symbolic computation is extended to special-type
nonlinear equations for constructing their doubly periodic wave solutions. Such equations …

By using the solutions of an auxiliary ordinary differential equation, a direct algebraic
method is described to construct several kinds of exact travelling wave solutions for some …

The nonlinear Klein–Gordon equation is used to model many nonlinear phenomena. In this
paper, we propose a numerical scheme to solve the one-dimensional nonlinear Klein …

We present an extended F-expansion method for finding periodic wave solutions of
nonlinear evolution equations in mathematical physics, which can be thought of as a …

The fractional derivatives have been widely applied in many fields and has attracted
widespread attention. This paper extracts a new fractional (3+ 1)-dimensional modified …