The extended Adomian decomposition method and its application to the rotating shallow water system for the numerical pulsrodon solutions  

作　　者：Hongli An Liying Hou Manwai Yuen 

机构地区：[1]School of Mathematics and Statistics,Nanjing University of Science and Technology,Nanjing 210094,China [2]College of Sciences,Nanjing Agricultural University,Nanjing 210095,China [3]Department of Mathematics and Information Technology,The Education University of Hong Kong,Hong Kong,China

出　　处：《Communications in Theoretical Physics》2024年第12期34-41,共8页理论物理通讯(英文版)

基　　金：supported by the National Natural Science Foundation of China(Grant No.12371250);the Jiangsu Provincial Natural Science Foundation(Grant Nos.BK20221508,12205154 and 11775116);the Dean’s Research Fund of the Education University of Hong Kong 2023/23(FLASS/DRF/IRS-8)。

摘　　要：The rotating shallow water system is an important physical model,which has been widely used in many scientific areas,such as fluids,hydrodynamics,geophysics,oceanic and atmospheric dynamics.In this paper,we extend the application of the Adomian decomposition method from the single equation to the coupled system to investigate the numerical solutions of the rotating shallow water system with an underlying circular paraboloidal basin.By introducing some special initial values,we obtain interesting approximate pulsrodon solutions corresponding to pulsating elliptic warm-core rings,which take the form of realistic series solutions.Numerical results reveal that the numerical pulsrodon solutions can quickly converge to the exact solutions derived by Rogers and An,which fully shows the efficiency and accuracy of the proposed method.Note that the method proposed can be effectively used to construct numerical solutions of many nonlinear mathematical physics equations.The results obtained provide some potential theoretical guidance for experts to study the related phenomena in geography,oceanic and atmospheric science.

关 键 词：Adomian decomposition method Adomian polynomials rotating shallow water system numerical pulsrodons 

分 类 号：O241.82[理学—计算数学]