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… (More)
We generalize the exp-function method recently proposed by He and Wu [Chaos, Solitons and Fractals 30, 700 (2006)]. We apply this generalized method to the Korteweg-de Vries equation and derive the known 2-soliton and 3-soliton solutions. We also discuss the efficiency, as well as the drawbacks of the proposed method.
The electricity production sector has currently and for the past years been dominated by fossil fuel technologies , mostly coal, oil and natural gas. This has had various environmental consequences, such as increased gaseous emissions, soil and water pollution, global warming, as well as fossil resource depletion. As a result, the need to pursue Sustainable… (More)