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

MO Jiaqi WANG Hui LIN Wantao

MO Jiaqi, WANG Hui, LIN Wantao. Homotopic Mapping Solving Method for Perturbed Mechanism of Western Boundary Undercurrents in Equator Pacific[J]. 中国地理科学, 2006, 16(4): 347-350.
引用本文: MO Jiaqi, WANG Hui, LIN Wantao. Homotopic Mapping Solving Method for Perturbed Mechanism of Western Boundary Undercurrents in Equator Pacific[J]. 中国地理科学, 2006, 16(4): 347-350.
MO Jiaqi, WANG Hui, LIN Wantao. Homotopic Mapping Solving Method for Perturbed Mechanism of Western Boundary Undercurrents in Equator Pacific[J]. Chinese Geographical Science, 2006, 16(4): 347-350.
Citation: MO Jiaqi, WANG Hui, LIN Wantao. Homotopic Mapping Solving Method for Perturbed Mechanism of Western Boundary Undercurrents in Equator Pacific[J]. Chinese Geographical Science, 2006, 16(4): 347-350.

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

基金项目: 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)
详细信息
    作者简介:

    MO Jiaqi(1937- ),male,a native of Deqing of Zhejiang Province,professor,specialized in applied mathematics.E-mail:mojiaqi@mail.ahnu.edu.cn.

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

  • 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 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.
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出版历程
  • 收稿日期:  2006-07-11
  • 修回日期:  2006-10-20
  • 刊出日期:  2006-12-20

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

    基金项目:  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)
    作者简介:

    MO Jiaqi(1937- ),male,a native of Deqing of Zhejiang Province,professor,specialized in applied mathematics.E-mail:mojiaqi@mail.ahnu.edu.cn.

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 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.

English Abstract

MO Jiaqi, WANG Hui, LIN Wantao. Homotopic Mapping Solving Method for Perturbed Mechanism of Western Boundary Undercurrents in Equator Pacific[J]. 中国地理科学, 2006, 16(4): 347-350.
引用本文: MO Jiaqi, WANG Hui, LIN Wantao. Homotopic Mapping Solving Method for Perturbed Mechanism of Western Boundary Undercurrents in Equator Pacific[J]. 中国地理科学, 2006, 16(4): 347-350.
MO Jiaqi, WANG Hui, LIN Wantao. Homotopic Mapping Solving Method for Perturbed Mechanism of Western Boundary Undercurrents in Equator Pacific[J]. Chinese Geographical Science, 2006, 16(4): 347-350.
Citation: MO Jiaqi, WANG Hui, LIN Wantao. Homotopic Mapping Solving Method for Perturbed Mechanism of Western Boundary Undercurrents in Equator Pacific[J]. Chinese Geographical Science, 2006, 16(4): 347-350.

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