On the new exact traveling wave solutions of the time-space fractional strain wave equation in microstructured solids via the variational method

作     者：Kang-Jia Wang Kang-Jia Wang

作者机构：School of Physics and Electronic Information EngineeringHenan Polytechnic UniversityJiaozuo454003China 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2021年第73卷第4期

页      面：1-8页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by Program of Henan Polytechnic University(No.B2018-40) Innovative Scientists and Technicians Team of Henan Provincial High Education(21IRTSTHN016) the Fundamental Research Funds for the Universities of Henan Province 

主　　题：solitary wave solutions periodic wave solutions fractional strain wave equation variational principle He’s variational method 

摘      要：In this paper,we mainly study the time-space fractional strain wave equation in microstructured ***’s variational method,combined with the two-scale transform are implemented to seek the solitary and periodic wave solutions of the time-space strain wave *** main advantage of the variational method is that it can reduce the order of the differential equation,thus simplifying the equation,making the solving process more intuitive and avoiding the tedious solving ***,the numerical results are shown in the form of 3D and 2D graphs to prove the applicability and effectiveness of the *** obtained results in this work are expected to shed a bright light on the study of fractional nonlinear partial differential equations in physics.