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国家自然科学基金(s40676016): 作品数：15被引量：122H指数：6; 导出分析报告; 相关期刊：《Chinese Physics B》《Applied Mathematics and Mechanics(English Edition)》《Journal of Shanghai Jiaotong university(Science)》更多>>; 相关主题：SINGULAR_PERTURBATIONNONLINEARSINGULARLY_PERTURBEDASYMPTOTIC_SOLUTIONSOLUTION更多>>; 相关领域：理学天文地球自动化与计算机技术更多>>

Asymptopic solution for a class of semilinear singularly perturbed fractional differential equation: 《Chinese Physics B》2010年第5期12-16,共5页石兰莫嘉琪; Project supported by the National Natural Science Foundation of China (Grant Nos. 40676016 and 40876010);the Knowledge Innovation Project of Chinese Academy of Sciences (Grant No. KZCX2-YW-Q03-08);LASG State Key Laboratory Special Fund and R&D Special Fund for Public Welfare Industry (meteorology) (Grant No. GYHY200806010); This paper considers a class of boundary value problems for the semilinear singularly perturbed fractional differential equation. Under the suitable conditions, first, the outer solution of the original problem is obt...; 关键词：SEMILINEAR fractional differential equation singular perturbation

A singularly perturbed reaction diffusion problem for the nonlinear boundary condition with two parameters被引量：52: 《Chinese Physics B》2010年第1期13-16,共4页莫嘉琪; Project supported by the National Natural Science Foundation of China (Grant Nos. 40676016 and 40876010);the Knowledge Innovation Project of Chinese Academy of Sciences (Grant No. KZCX2-YW-Q03-08);the Natiural Science Foundation of Zhejiang Province of China (Grant No. 6090164);in part by E-Institutes of Shanghai Municipal Education Commission (Grant No. E03004); A class of singularly perturbed initial boundary value problems of reaction diffusion equations for the nonlinear boundary condition with two parameters is considered. Under suitable conditions, by using the theory of...; 关键词：NONLINEAR two parameters singular perturbation

Homotopic mapping solution of an oscillator for the El Nio/La Nia-southern oscillation: 《Chinese Physics B》2009年第11期4603-4607,共5页周先春林一骅林万涛莫嘉琪; Project supported by the National Natural Science Foundation of China (Grant Nos 40676016 and 40876010);the State Key Development Program for Basic Research of China (Grant Nos 2003CB415101-03 and 2004CB418304);the Key Innovation Project of Chinese Academy of Sciences (Grant No KZCX2-YW-Q03-08);the LASG State Key Laboratory Special Fund and in part by E-Institutes of Shanghai Municipal Education Commission (Grant No E03004); This paper considers a class of oscillator for the El Nino/La Ninia-southern oscillation （ENSO） model. By using the homotopic mapping method, it obtains approximations of the solution for the ENSO model.; 关键词：NONLINEAR homotopic mapping ENSO model

Approximation of the soliton solution for the generalized Vakhnenko equation: 《Chinese Physics B》2009年第11期4608-4612,共5页莫嘉琪; Project supported by the National Natural Science Foundation of China (Grant Nos 40676016 and 40876010);the Key Innovation Project of the Chinese Academy of Sciences (Grant No KZCX2-YW-Q03-08);LASG State Key Laboratory Special Fund, China, and in part by E-Institutes of Shanghai Municipal Education Commission, China (Grant No E03004); A class of generalized Vakhnemko equation is considered. First, we solve the nonlinear differential equation by the homotopic mapping method. Then, an approximate soliton solution for the original generalized Vakhnemk...; 关键词：homotopic mapping SOLITON Vakhnemko equation

A class of singular perturbation solutions to semilinear equations of fourth order: 《Applied Mathematics and Mechanics(English Edition)》2009年第11期1455-1460,共6页莫嘉琪; supported by the National Natural Science Foundation of China (Nos.40676016 and 40876010);the Knowledge Innovation Program of Chinese Academy of Sciences (No.KZCX2-YW-Q03-08);the LASG State Key Laboratory Special Fund,and the E-Institute of Shanghai Municipal Education Commission (No.E03004); A class of singularly perturbed boundary value problems for semilinear equations of fourth order with two parameters are considered. Under suitable conditions, using the method of lower and upper solutions, the existe...; 关键词：NONLINEAR two parameters singular perturbation lower and upper solutions

Singularly Perturbed Differential-Difference Reaction Diffusion Equations with Time Delay被引量：13: 《Journal of Shanghai Jiaotong university(Science)》2009年第5期629-631,共3页莫嘉琪; the National Natural Science Foundation of China (Nos.40676016 and 40876010);the National Basic Research Program (973) of China (Nos.2003CB415101-03 and 2004CB418304);the Knowledge Innovation Project of Chinese Academy of Sciences (No.KZCX2-YW-Q03-08);LASG State Key Laboratory Special Fund;E-Institutes of Shanghai Municipal Education Commission (No.E03004); A class of differential-difference reaction diffusion equations with a small time delay is considered.Under suitable conditions and by using the method of the stretched variable,the formal asymptotic solution is const...; 关键词：nonlinear reaction diffusion singular perturbation time delay

Asymptotic solution for a perturbed mechanism of western boundary undercurrents in the Pacific被引量：1: 《Chinese Physics B》2009年第9期3624-3627,共4页莫嘉琪林万涛林一骅; supported by the National Natural Science Foundation of China(Grant Nos 40676016 and 40876010);the Knowledge Innovation Project of Chinese Academy of Sciences(Grant No KZCX2-YW-Q03-08);LASG State Key Laboratory Special fund and E-Institutes of Shanghai Municipal Education Commission of China(Grant No E03004); This paper consider a class of perturbed mechanism for the western boundary undercurrents in the Pacific. The model of generalized governing equations is studied. Using the perturbation method, it constructs the asymp...; 关键词：undercurrents PERTURBATION asymptotic solution

The homotopic mapping solution for the solitary wave for a generalized nonlinear evolution equation被引量：21: 《Chinese Physics B》2009年第9期3628-3631,共4页莫嘉琪林苏榕; supported by the National Natural Science Foundation of China(Grant Nos 40676016 and 40876010);the Knowledge Innovation Project of Chinese Academy of Sciences(Grant No KZCX2-YW-Q03-08);LASG State Key Laboratory Special fund;E-Institutes of Shanghai Municipal Education Commission of China(Grant No E03004); This paper studies a generalized nonlinear evolution equation. Using the homotopic mapping method, it constructs a corresponding homotopic mapping transform. Selecting a suitable initial approximation and using homoto...; 关键词：evolution equation NONLINEAR SOLITON approximate method

Asymptotic solution of nonlocal nonlinear reaction-diffusion Robin problems with two parameters: 《Applied Mathematics and Mechanics(English Edition)》2009年第8期1003-1008,共6页莫嘉琪; supported by the National Natural Science Foundation of China (Nos. 40676016, 40876010);the Knowledge Innovation Program of Chinese Academy of Sciences (No. KZCX2-YW-Q03-08);the LASG State Key Laboratory Special Fund;the E-Institute of Shanghai Municipal Education Commission (No. E03004); In this paper, the nonlocal nonlinear reaction-diffusion singularly perturbed problems with two parameters are studied. Using a singular perturbation method, the structure of the solutions to the problem is discussed ...; 关键词：problem reaction-diffusion system singular perturbation initial boundary value

Singularly perturbed solution to semilinear reaction diffusion equations with two parameters: 《Applied Mathematics and Mechanics(English Edition)》2009年第5期653-658,共6页莫嘉琪刘树德; supported by the National Natural Science Foundation of China (Nos.40676016,40876010);the Key Innovation Project of the Chinese Academy of Sciences (No.KZCX2-YW-Q03-08);the E-Institute of Shanghai Municipal Education Commission (No. E03004); A class of singularly perturbed initial boundary value problems for semilinear reaction diffusion equations with two parameters is considered, Under suitable conditions and using the theory of differential inequalitie...; 关键词：nonlinear two parameters singular perturbation reaction diffusion initial layer boundary layer

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