In this paper, we study properties of exp-uniform distribution and its applications. We provide closed forms for the density function and moments of order statistics and we also discuss estimation of the parameters via the maximum likelihood method. We will present certain characterizations of exp-uniform distribution. The applications of this distribution are illustrated by fitting it to three...

Recently, many important nonlinear partial differential equations arising in the applied physical and mathematical sciences have been tackled by a popular approach, the so-called Exp-function method. In this paper, we present some shortcomings of this method by analyzing the results of recently published papers. We also discuss the possible improvement of the effectiveness of the method. PACS n...

Abstract: In this paper, we apply the exp-function method to construct solutions of nonlinear differential equations which arise in various branches of physics, engineering and applied sciences. The proposed scheme proves to be very efficient and compatible to deal with the nonlinearity and versatility of the problems. Numerical results clearly indicate the reliability and efficiency of the sug...