Homotopic Mapping Solving Method for Perturbed Mechanism of Western Boundary Undercurrents in Equator Pacific  

作　　者：MO Jiaqi WANG Hui LIN Wantao 

机构地区：[1]Department of Mathematics, Anhui Normal University, Wuhu 241000, China [2]Division of Computational Science, E-Instilutes of Shanghai Universities, Shanghai Jiaotong University, Shanghai 200240, China [3]Department of Mathematics, Huzhou Teachers College, Huzhou 313000, China [4]Chinese Academy of Meteorological Sciences, Beijing 100081, China [5]LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China

出　　处：《Chinese Geographical Science》2006年第4期347-350,共4页中国地理科学（英文版）

基　　金：Under the auspices of the National Natural Science Foundation of China (No. 40576012, No. 40676016, No. 10471039), the State Key Program for Basic Research of China (No. 2003CB415101-03, No. 2004CB418304), the Key Project of the Chinese Academy of Sciences (No. KZCX3-SW-221), E-Institutes of Shanghai Municipal Education Commission (No. N.E03004)

摘　　要：The perturbed boundary undercurrent is an exceptional event in the tropical atmosphere and ocean. It is a complicated nonlinear system. Its appearance badly affects not only natural conditions such as climate and environment, but also global economic development and human living, and brings about many calamities. Thus there is very attractive study on its rules in the international academic circles. Many scholars made more studies on its local and whole behaviors using different methods, such as self-anamnestic principle, Fokker-Plank Equation method, higher order singular pedigree and predictable study, rapid change on boundary, indeterminate adaptive control, multi-eogradient method and so on. Nonlinear perturbed theory and approximate method are very attractive studies in the international academic circles. Many scholars considered a class of nonlinear problems for the ordinary differential equation, the reaction diffusion equations, the boundary value of elliptic equation, the initial boundary value of hyperbolic equation, the shock layer solution of nonlinear equation and so on. In this paper, a class of perturbed mechanism for the western boundary undercurrents in the equator Pacific is considered. Under suitable conditions, using a homotopic mapping theory and method, we obtain a simple and rapid arbitrary order approximate solution for the corresponding nonlinear system. For example, a special case shows that using the homotopic mapping method, there is a high accuracy for the computed value. It is also provided from the results that the solution for homotopic mapping solving method can be used for analyzing operator for perturbed mechanism of western boundary undercurrents in the equator Pacific.The perturbed boundary undercurrent is an exceptional event in the tropical atmosphere and ocean.It is a complicated nonlinear system.Its appearance badly affects not only natural conditions such as climate and environment,but also global economic development and human living,and brings about many calamities.Thus there is very attractive study on its rules in the international academic circles.Many scholars made more studies on its local and whole be-haviors using different methods,such as self-anamnestic principle,Fokker-Plank Equation method,higher order singular pedigree and predictable study,rapid change on boundary,indeterminate adaptive control,multi-cogradient method and so on.Nonlinear perturbed theory and approximate method are very attractive studies in the international academic circles.Many scholars considered a class of nonlinear problems for the ordinary differential equation,the reaction dif-fusion equations,the boundary value of elliptic equation,the initial boundary value of hyperbolic equation,the shock layer solution of nonlinear equation and so on.In this paper,a class of perturbed mechanism for the western boundary undercurrents in the equator Pacific is considered.Under suitable conditions,using a homotopic mapping theory and method,we obtain a simple and rapid arbitrary order approximate solution for the corresponding nonlinear system.For example,a special case shows that using the homotopic mapping method,there is a high accuracy for the computed value.It is also provided from the results that the solution for homotopic mapping solving method can be used for analyzing operator for perturbed mechanism of western boundary undercurrents in the equator Pacific.

关 键 词：undercurrent PERTURBATION approximate solution equator Pacific 

分 类 号：P731.27[天文地球—海洋科学]