国家自然科学基金(Y606268)

作品数：5被引量：49H指数：2
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A SINGULARLY PERTURBED PROBLEM OF THIRD ORDER EQUATION WITH TWO PARAMETERS被引量：1
《Annals of Differential Equations》2009年第4期432-437,共6页Cheng Ouyang (Dept. of Math., Huzhou Teachers College, Huzhou 313000, Zhejiang) 
Supported by the Natural Science Foundation of Zhejiang Province (Y606268)
A singularly perturbed problem of third order equation with two parameters is studied. Using singular perturbation method, the structure of asymptotic solutions to the problem is discussed under three possible cases o...
关键词：two parameters asymptotic solution singular perturbation 
The Uniformly Valid Solution for a Top System of Two Free Dimensions with Parameter
《Chinese Quarterly Journal of Mathematics》2009年第3期453-457,共5页欧阳成 
Supported by the NNSF of China(10471039);Supported by the Natural Science Foundation of Zhejiang Province(Y606268);Supported by the E-Institutes of Shanghai Municipal Education Commission(E03004)
A general top system of two free dimensions with parameter is studied and the four cases satisfied by the frequency of the system are discussed.Using the multiple scale method,its uniformly valid asymptotic solution,w...
关键词：uniformly valid asymptotic solution solvable condition multiple scale method 
A Class of Singularly Perturbed Nonlinear Shock Problems被引量：2
《Chinese Quarterly Journal of Mathematics》2008年第3期330-336,共7页OUYANG Cheng 
Supported by the National Natural Science Foundation of China（10471039）; Supported by the E-Institutes of Shanghai Municipal Education Commission（E03004）; Supported by the Natural Science Foundation of Zhejiang Province（Y606268）
Using the method of matched asymptotic expansions, the shock solutions for a class of singularly perturbed nonlinear problems are discussed. The relation of the shock solutions and their boundary conditions is obtaine...
关键词：nonlinear problem shock wave boundary layer MATCHING 
Asymptotic solution for a class of sea-air oscillator model for El Nio-southern oscillation被引量：39
《Chinese Physics B》2008年第2期370-372,共3页莫嘉琪 林万涛 
Project supported by the National Natural Science Foundation of China (Grant Nos 40676016 and 10471039);the State KeyProgram for Basic Research of China (Grant Nos 2003CB415101-03 and 2004CB418304);the Key Project of the Chinese Academy of Sciences (Grant No KZCX3-SW-221);in partly by E-Institutes of Shanghai Municipal Education Commission (Grant NoN.E03004);the Natural Science Foundation of Zhejiang Province,China (Grant No Y606268)
The El Nifio-Southern Oscillation （ENSO） is an interannual phenomenon involved in the tropical Pacific Oceanatmosphere interactions. In this paper, an asymptotic method of solving the nonlinear equation for the ENSO...
关键词：NONLINEAR perturbation method El Nin^o～Southern Oscillation Model 
ASYMPTOTIC METHOD OF TRAVELLING WAVE SOLUTIONS FOR A CLASS OF NONLINEAR REACTION DIFFUSION EQUATION被引量：9
《Acta Mathematica Scientia》2007年第4期777-780,共4页莫嘉琪 张伟江 何铭 
Supported by the National Natural Sciences Foundation of China(40676016 and 10471039);the National Key Project for Basic Research(2003CB415101-03 and 2004CB418304);the Key Project of the Chinese Academy of Sciences(KZCX3-SW-221);in part by E-Institutes of Shanghai Municipal Education Commission(N.E03004);the Natural Science Foundation of Zeijiang,China(Y606268).
In this article the travelling wave solution for a class of nonlinear reaction diffusion problems are considered. Using the homotopic method and the theory of travelling wave transform, the approximate solution for th...
关键词：Travelling wave solution homotopic method of solution reaction diffusion 
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