The double auxiliary equations method and its application to space-time fractional nonlinear equations  

作　　者：L.A.Alhakim A.A.Moussa 

机构地区：[1]Unit of Mathematics and Statistic,College of Business&Economics,Qassim University,Buraidah,Saudi Arabia [2]Thoeoretical Reseach Group,Department of Mathematics,Faculty of Science,Damascus University,Damascus,Syria

出　　处：《Journal of Ocean Engineering and Science》2019年第1期7-13,共7页海洋工程与科学（英文）

摘　　要：This paper reflects the execution of a reliable technique which we proposed as a new method called the double auxiliary equations method for constructing new traveling wave solutions of nonlinear fractional differential equation.The proposed scheme has been successfully applied on two very important evolution equations,the space-time fractional differential equation governing wave propagation in low-pass electrical transmission lines equation and the time fractional Burger’s equation.The obtained results show that the proposed method is more powerful,promising and convenient for solving nonlinear fractional differential equations(NFPDEs).To our knowledge,the solutions obtained by the proposed method have not been reported in former literature.

关 键 词：Double auxiliary equations method Fractional partial differential equation Exact solution Traveling wave solution Nonlinear low-pass electrical Transmission lines Fractional Burger’s equation. 

分 类 号：O17[理学—数学]