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| 1 | SINGULAR PERTURBATION FOR A CLASS OF NONLINEAR REACTION DIFFUSION SYSTEMS显示文摘This paper deals with the initial-bounndary value problem for the wider nonlinear reaction diffusion system: where Leading into the variables of multiple scales, we obtained a uniformly valid asymptotic solution to any degree of precision by using comparison theorem. | 莫嘉琪 | 1989 | Science China Mathematics1989，32，11： | 213 |
| 2 | 高阶半线性椭圆型方程奇摄动边值问题(英文)显示文摘本文研究了一类高阶半线性椭圆型方程奇摄动边值问题.利用比较定理,证明了渐近解的一致有效性. | 莫嘉琪 S. Shao | 2001 | 数学进展2001，30，2： | 91 |
| 3 | Approximate Solution of Homotopic Mapping to Solitary Wave for Generalized Nonlinear KdV System显示文摘 | 莫嘉琪 | 2009 | Chinese Physics Letters2009，26，1： | 66 |
| 4 | A CLASS OF NONLOCAL BOUNDARY VALUE PROBLEMS OF NONLINEAR ELLIPTIC SYSTEMS IN UNBOUNDED DOMAINS显示文摘The nonlocal boundary value problems for nonlinear elliptic systems in the unbounded domain are considered. Under suitable conditions the existence of solution and comparison theorem for the boundary value problems are studied. | 莫嘉琪 欧阳成 | 2001 | Acta Mathematica Scientia2001，21，1： | 64 |
| 5 | THE SINGULARLY PERTURBED PROBLEM FOR COMBUSTION REACTION DIFFUSION显示文摘A singularly perturbed combustion reaction diffusion Robin boundary value problem is considered. Using the theory of differential ineaqality, the existence of solution to the problem is proved and the asymptotic estimation of the solution is obtained. | 莫嘉琪 | 2001 | Acta Mathematicae Applicatae Sinica2001，17，2： | 68 |
| 6 | A Variational Iteration Solving Method for a Class of Generalized Boussinesq Equations显示文摘 | 莫嘉琪 | 2009 | Chinese Physics Letters2009，26，6： | 57 |
| 7 | A singularly perturbed reaction diffusion problem for the nonlinear boundary condition with two parameters显示文摘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 differential inequalities, the existence and the asymptotic behaviour of the solution for the initial boundary value problem are studied. The obtained solution indicates that there are initial and boundary layers and the thickness of the boundary layer is less than the thickness of the initial layer. | 莫嘉琪 | 2010 | Chinese Physics B2010，19，1： | 52 |
| 8 | A CLASS OF NONLOCAL SINGULARLY PERTURBED PROBLEMS FOR NONLINEAR HYPERBOLIC DIFFERENTIAL EQUATION显示文摘The nonlocal singularly perturbed problems for the hyperbolic differential equation are considered. Under suitable conditions, using the fixed point theorem, the asymptotic behavior of solution for the initial boundary value problems is studied. | 莫嘉琪 | 2001 | Acta Mathematicae Applicatae Sinica2001，17，4： | 41 |
| 9 | ENSO非线性模型的摄动解显示文摘研究了一类ENSO摄动模型 .利用摄动理论和方法 。 | 莫嘉琪 林万涛 | 2004 | 物理学报2004，53，4： | 50 |
| 10 | Asymptotic solution for a class of sea-air oscillator model for El Nio-southern oscillation显示文摘The El Nin o-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 model is used.And based on a class of oscillator of ENSO model,the approximate solution of a corresponding problem is studied by employing the perturbation method.Firstly,an ENSO model of nonlinear time delay equation of equatorial Pacific is introduced,Secondly,by using the perturbed method,the zeroth and first order asymptotic perturbed solutions are constructed.Finally,from the comparison of the values for a figure,it is seen that the first asymptotic perturbed solution using the perturbation method has a good accuracy.And it is proved from the results that the perturbation method can be used as an analytic operation for the sea surface temperature anomaly in the equatorial Pacific of the atmosphere-ocean oscillation for the ENSO model. | 莫嘉琪 林万涛 | 2008 | Chinese Physics B2008，17，2： | 39 |
| 11 | A CLASS OF SINGULARLY PERTURBED REACTION DIFFUSION INTEGRAL DIFFERENTIAL SYSTEM显示文摘In this paper a class of singularly perturbed initial boundary value problems for the reaction diffusion integral differential system are considered. Using the iteration method and the differential inequalities, the existence, uniqueness and its asymptotic behavior of solution for the initial boundary value problems are studied. | 莫嘉琪 | 1999 | Acta Mathematicae Applicatae Sinica1999，15，1： | 31 |
| 12 | 海-气振子ENSO模型的同伦解法显示文摘研究了一个厄尔尼诺 南方海涛 (ENSO)的时滞振子的模型 . | 莫嘉琪 林万涛 朱江 | 2004 | 物理学报2004，53，10： | 32 |
| 13 | THE NONLINEAR SINGULARLY PERTURBED PROBLEMS FOR REACTION DIFFUSION EQUATIONS WITH TIME DELAY显示文摘A class of nonlinear for singularly perturbed problems for reaction diffusion equations with time delays are considered. Under suitable conditions, using theory of differential inequalities the asymptotic behavior of solution for the initial boundary value problems are studied. | 莫嘉琪 冯茂春 | 2001 | Acta Mathematica Scientia2001，21，2： | 31 |
| 14 | 广义Lotke-Volterra生态模型的非线性奇摄动近似解(英文)显示文摘非线性奇摄动问题在国际学术界中是一个重要的研究对象。它涉及到许多学科。在一些生态现象中,原始的研究方法只是采取某些简单观察和统计数据来得到结论。但是它对生态现象的实质的研究达不到效果。近来在国际上提出了研究生态学的动力学方法,即人们首先把它归化为代表它的现象本质的微分方程的模型,然后用数学方法来求解对应的方程,最后研究关于生物和数学理论的动力学方面的规律。目前,非线性摄动问题已经被广泛地研究。许多学者已经研究了一些近似理论。近似求解方法已被发展,包括平均法,边界层法,匹配渐近展开和多尺度法等等。研究非线性广义Lotke-Volterra捕食-被捕食生态模型,一个简单而有效的摄动方法被应用到捕食-被捕食生态模型。提出了捕食-被捕食的一个模型,它是一个微分方程系统,并用小的正参数按幂级数展开未知函数,然后得到关于幂级数的系数的方程,并求出它们的解。于是利用摄动方法得到了原问题解的渐近展开式。得到了它是原模型解是一个好的近似的结论,它是一个解析展开式并且能保持其解析运算。最后,给出了一个对应的例子,它说明得到的解具有很好的精度。 | 莫嘉琪 王辉 | 2007 | 生态学报2007，27，10： | 27 |
| 15 | 高阶半线性椭圆型方程奇摄动广义Dirichlet边值问题(英文)显示文摘本文讨论了半线性椭圆型方程奇摄动广义边值问题,在适当的条件下研究了Dirichlet边值问题广义解的存在唯一性及其渐近性态。 | 莫嘉琪 | 2006 | 数学进展2006，35，1： | 26 |
| 16 | 激光脉冲放大器传输波的计算显示文摘研究了一个非线性激光脉冲放大器传输系统,利用广义泛函-变分迭代理论和方法,得到了相应系统的近似解.从而为设计激光脉冲放大器提供了便利. | 莫嘉琪 张伟江 何铭 | 2006 | 物理学报2006，55，7： | 25 |
| 17 | Variational iteration method for solving perturbed mechanism of western boundary undercurrents in the Pacific显示文摘 | 莫嘉琪 林万涛 王辉 | 2007 | Chinese Physics B2007，16，4： | 26 |
| 18 | 强非线性发展方程孤波近似解显示文摘研究了一个强非线性发展方程.利用变分原理,首先构造了相应的泛函.选取Lagrange乘子,再用广义变分迭代方法得到了孤波的任意次精度的近似解. | 莫嘉琪 张伟江 何铭 | 2007 | 物理学报2007，56，4： | 25 |
| 19 | 强非线性发展方程孤波同伦解法显示文摘研究了一个强非线性发展方程.利用同伦映射方法,首先构造了相应的同伦变换;其次选取了适当的初始近似;再用迭代方法得到了孤波的任意次精度的近似解. | 莫嘉琪 张伟江 陈贤峰 | 2007 | 物理学报2007，56，11： | 25 |
| 20 | A CLASS OF HOMOTOPIC SOLVING METHOD FOR ENSO MODEL显示文摘The El Nio/La Nia and the Southern Oscillation(ENSO)is an interan- nual phenomenon involved in the tropical Pacific ocean-atmosphere interactions.In this article,the aim is to create an asymptotic solving method of nonlinear equation for the ENSO models.And on the basis of a class of oscillator of ENSO models,using the method of homotopic mapping,the approximation of solution of corresponding problem is stud- ied.It is proved from the results that homotopic method can be used for analyzing the SST anomaly... | 莫嘉琪 林万涛 王辉 | 2009 | 软件工程师2009，，4： | 24 |
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