Traveling wave solutions of the nonlinear Gilson-Pickering equation in crystal lattice theory

作     者：A.T.Nguyen O.Nikan Z.Avazzadeh 

作者机构：Division of Applied MathematicsScience and Technology Advanced InstituteVan Lang UniversityHo Chi Minh CityVietnam Faculty of TechnologyVan Lang UniversityHo Chi Minh CityVietnam School of MathematicsIran University of Science and TechnologyNarmakTehranIran Department of Applied MathematicsXi’an Jiaotong-Liverpool UniversitySuzhou 215123China 

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

年 卷 期：2024年第9卷第1期

页      面：40-49页

核心收录：

学科分类：07[理学] 0824[工学-船舶与海洋工程] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Van Lang University 

主　　题：Nonlinear Gilson–Pickering equation Soliton wave solutions Meshless technique RBF LRBF-FD Optimal shape parameter 

摘      要：This paper focuses on obtaining the traveling wave solutions of the nonlinear Gilson-Pickering equa-tion(GPE),which describes the prorogation of waves in crystal lattice theory and plasma *** solution of the GPE is approximated via the finite difference technique and the localized meshless radial basis function generated finite *** association of the technique results in a meshless approach that does not require linearizing the nonlinear *** the first step,the PDE is converted to a system of nonlinear ODEs with the help of the radial *** the second step,a high-order ODE solver is adopted to discretize the nonlinear ODE *** global collocation techniques pose a considerable computationl burden due to the calculation of the dense algebraic *** proposed method approx-imates differential operators over the local support domain,leading to sparse differentiation matrices and decreasing the computational *** results and comparisons are provided to confirm the efficiency and accuracy of the method.