We observe that the form of the Kadomstev–Petviashvili equation studied by Yu (2011)[S.
Yu, N-soliton solutions of the KP equation by Exp-function method, Appl. Math …

In this study, with the help of fractional complex transform and new analytical method
namely, improved\tan (ϕ (ξ)/2) tan (ϕ (ξ)/2)-expansion method (ITEM), we obtained new …

A new short-term time series forecasting method based on the identification of skeleton
algebraic sequences is proposed in this paper. The concept of the rank of the Hankel matrix …

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 …

Solutions of the KdV equation are derived by the algebraic operator method based on
generalized operators of differentiation. The algebraic operator method based on the …

An alternative technique for clocking the convergence of iterative chaotic maps is proposed
in this paper. It is based on the concept of the Hankel rank of a solution of the discrete …

The construction of the second order solitary solutions to two Riccati differential equations
coupled with a multiplicative term is discussed in this paper. The generalized differential …

Recently, many important nonlinear partial differential equations arising in the applied
physical and mathematical sciences have been tackled by a popular approach, the so …

It is shown that the solution produced by the Exp-function method may not hold for all initial
conditions. Riccati and Maccari nonlinear differential equations are used to illustrate that …

A scheme for the analytical stochastization of ordinary differential equations (ODEs) is
presented in this article. Using Itô calculus, an ODE is transformed into a stochastic …