Investigation of adequate closed form travelling wave solution to the space-time fractional non-linear evolution equations  

作　　者：Mohammad Asif Arefin M.Ayesha Khatun M.Hafiz Uddin Mustafa Inc 

机构地区：[1]Department of Mathematics,Jashore University of Science and Technology,Jashore 7408,Bangladesh [2]Department of Computer Engineering,Biruni University,Istanbul,Turkey [3]Department of Mathematics,Science Faculty,Firat University,Elazig,Turkey [4]Department of Medical Research,China Medical University Hospital,China Medical University,Taichung,Taiwan

出　　处：《Journal of Ocean Engineering and Science》2022年第3期292-303,共12页海洋工程与科学（英文）

摘　　要：This work aims to construct exact solutions for the space-time fractional(2+1)-dimensional dispersive longwave(DLW)equation and approximate long water wave equation(ALW)utilizing the twovariable(G′/G,1/G)-expansion method and the modified Riemann-Liouville fractional derivative.The recommended equations play a significant role to describe the travel of the shallow water wave.The fractional complex transform is used to convert fractional differential equations into ordinary differential equations.Several wave solutions have been successfully achieved using the proposed approach and the symbolic computer Maple package.The Maple package program was used to set up and validate all of the computations in this investigation.By choosing particular values of the embedded parameters,we pro-duce multiple periodic solutions,periodic wave solutions,single soliton solutions,kink wave solutions,and more forms of soliton solutions.The achieved solutions might be useful to comprehend nonlinear phenomena.It is worth noting that the implemented method for solving nonlinear fractional partial dif-ferential equations(NLFPDEs)is efficient,and simple to find further and new-fangled solutions in the arena of mathematical physics and coastal engineering.

关 键 词：Riemann-Liouville fractional derivative Space-time fractional(2+1)-dimensional dispersive long wave equation Approximate long water wave equation Wave transformation The two-variable(G′/G 1/G)-expansion method 

分 类 号：O17[理学—数学]