Traveling wave solutions to some nonlinear fractional partial differential equations through the rational(G'/G)-expansion method

作     者：Tarikul Islam M.Ali Akbar Abul Kalam Azad 

作者机构：Department of MathematicsHajee Mohammad Danesh Science and Technology UniversityDinajpurBangladesh Department of Applied MathematicsRajshahi UniversityRajshahiBangladesh 

出 版 物：《Journal of Ocean Engineering and Science》 (海洋工程与科学（英文）)

年 卷 期：2018年第3卷第1期

页      面：76-81页

核心收录：

学科分类：0710[理学-生物学] 0830[工学-环境科学与工程（可授工学、理学、农学学位）] 0908[农学-水产] 07[理学] 0707[理学-海洋科学] 0815[工学-水利工程] 0824[工学-船舶与海洋工程] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Nonlinear space-time fractional equations Nonlinear fractional complex transformation Conformable fractional derivative Exact solutions 

摘      要：In this article,the analytical solutions to the space-time fractional foam drainage equation and the space-time fractional symmetric regu-larized long wave(SRLW)equation are successfully examined by the recently established rational(G/G)-expansion *** suggested equations are reduced into the nonlinear ordinary differential equations with the aid of the fractional complex ***,the theories of the ordinary differential equations are implemented *** types closed form traveling wave solutions,such as hyper-bolic function,trigonometric function and rational,are constructed by using the suggested method in the sense of conformable fractional *** obtained solutions might be significant to analyze the depth and spacing of parallel subsurface drain and small-amplitude long wave on the surface of the water in a *** is observed that the performance of the rational(G/G)-expansion method is reliable and will be used to establish new general closed form solutions for any other NPDEs of fractional order.