A new application of the unified method

OpenAlex İngilizce

In this paper, we show that the unified method is not only more general than the family of tanh function methods, also it gives many more general solutions than the new members of the family of G ′ G -expansion methods.Compared to other methods, the significant contribution of the unified method is firstly to unify the family of tanh function methods and the family of G ′ G -expansion methods.Secondly, it gives many more solutions for NPDEs direct, concise and simple manner than the total of these two families.Also, the unified method gives these abundant solutions without using tedious and complex algorithm on computer programs.Afterwards, we demonstrate the effectiveness of the unified tanh method by seeking more exact solutions of the Lonngren wave equation.