New analytical modelling of fractional generalized Kuramoto-Sivashinky equation via Atangana-Baleanu operator and J-transform method  

作　　者：Metonou Richard Weidong Zhao Shehu Maitama 

机构地区：[1]School of Mathematics,Shandong University,Jinan,Shandong,China

出　　处：《Journal of Ocean Engineering and Science》2024年第1期66-88,共23页海洋工程与科学（英文）

基　　金：supported by the National Natural Sci-ence Foundation of China (12071261,11871068,and 11831010);the National Key R&D Program (2018YFA0703900).

摘　　要：In this paper,we propose a new analytical modelling of the well-known fractional generalized Kuramoto-Sivashinky equation(FGKSE)using fractional operator with non-singular kernel and the homotopy anal-ysis transform method via J-transform method.Also,using fixed-point theorem,we prove the existence and uniqueness of our proposed solution to the fractional Kuramoto-Sivashinky equation.To further val-idate the efficiency of the suggested technique,we proved the convergence analysis of the method and provide the error estimate.The obtained solutions of the FGKSE,describing turbulence processes in the field of ocean engineering are analytically and numerically compared to show the behaviors of many parameters of the present model.

关 键 词：Homotopy analysis J-transform method J-transform method Fractional generalized Kuramoto-Sivashinky EQUATION Fixed-point theorem Numeric-symbolic computation 

分 类 号：O17[理学—数学]