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Solution of Travelling Wave for Nonlinear Disturbed Long-Wave System

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Communications in Theoretical Physics 2011年第3期55卷 387-390页

作者： mo jia-qi Department of Mathematics Anhui Normal University Wuhu 241003 China Division of Computational Science E-Institutes of Shanghai Universities at SJTU Shanghai 200240 China

The approximate expressions of the travelling wave solutions for a class of nonlinear disturbed long-wave system are constructed using the generalized variational iteration method.

关键词： nonlinear long-wave equation travelling wave approximate analytic solution

Asymptotic solution for EI Nino-southern oscillation of nonlinear model

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维普期刊数据库

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Applied Mathematics(A Journal of Chinese Universities) 2008年第3期23卷 251-255页

作者： mo jia-qi LIN Wan-tao Dept. of Math. Anhui Normal Univ. Wuhu 241000 China LASG Institute of Atmos. Phys. Chinese Academy of Sciences Beijing 100029 China

A class of nonlinear coupled system for EI Nino-Southern Oscillation （ENSO） model is considered. Using the asymptotic theory and method of variational iteration, the asymptotic expansion of the solution for ENSO mod... 详细信息

关键词： nonlinear asymptotic theory EI Nino-Southern Oscillation model

VARIATIONAL ITERATION SOLVING METHOD FOR SEA-AIR OSCILLATOR moDEL OF INTERDECADAL CLIMATE FLUCTUATIONS

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Chinese Geographical Science 2005年第3期15卷 227-230页

作者： mo jia-qi LIN Yi-hua WANG Hui Department of Mathematics A nhui Normal University Wuhu 241000 P. R. China Division of Computational Science E-Institutes of Shanghai Universities at Shanghai Jiaotong University Shanghai 200240 P. R. China Institute of Atmospheric Physics Chinese Academy of Sciences Beijing 100029 P. R. China Chinese Academy of Meteorological Sciences Beijing 100081 P. R. China

Atmospheric physics is a very complicated natural phenomenon and needs to simplify its basic models for the sea-air oscillator. And it is solved by using the approximate method. The variational iteration method is a simple and valid method. In this paper the coupled system for a sea-air oscillator model of interdecadal climate fluctuations is considered. Firstly, through introducing a set of functions, and computing the variations, the Lagrange multipliers are obtained. And then, the generalized expressions of variational iteration are constructed. Finally, through selecting appropriate initial iteration from the iteration expressions, the approximations of solution for the sea-air oscillator model are solved successively.

关键词： nonlinear variational iteration El Nino-Southern Oscillator model

Homotopic mapping solutions for generalized method of solitary wave complex Burgers equation

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Chinese Physics B 2010年第10期19卷 16-19页

作者： mo jia-qi Department of Mathematics Anhui Normal University Wuhu 241000 China Department of Mathematics Shanghai Jiaotong University Shanghai 200240 China Division of Computational Science F-Institutes of Shanghai Universities at Shanghai Jiaotong University Shanghai 200240 China

A class of generalized complex Burgers equation is considered. First, a set of equations of the complex value functions are solved by using the homotopic mapping method. The approximate solution for the original generalized complex Burgers equation is obtained. This method can find the approximation of arbitrary order of precision simply and reliably.

关键词： homotopic mapping solitary wave Burgers equation

Asymptotic solving method for a sea air oscillator model of atmospheric physics

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Chinese Physics B 2012年第1期21卷 37-40页

作者： Lin Wan-Tao Lin Yi-Hua mo jia-qi LASG Institute of Atmospheric PhysicsChinese Academy of Sciences Anhui Normal University wuhu 241003China

In this paper, a class of coupled system for the E1 Nifio/La Nifia southern oscillation （ENSO） atmospheric physics oscillation model is considered. We propose an ENSO atmospheric physics model using a method from the asymptotic theory. It is indicated from the results that the asymptotic method can be used for analyzing the sea surface temperature anomaly and the thermocline depth anomaly of the atmosphere-ocean oscillation for the ENSO model in the equatorial Pacific.

关键词： nonlinear asymptotic theory El Nifia southern oscillation model

Solving Method for the Single-Kink Soliton Solution to a Disturbed Coupled

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Chinese Physics Letters 2011年第8期28卷 1-4页

作者： YAO Jing-Su CHEN Li-Hua WEN Zhao-Hui mo jia-qi Department of Mathematics Anhui Normal UniversityWuhu 241003 Department of Mathematics and Computer Science Fuqing Branch of Fujian Normal UniversityFuqing 350300 Institute of Applied Mathematics School of Statistics and Applied MathematicsAnhui University of Finance and EconomicsBengbu 233030 Faculty of Science Huzhou Teacher CollegeHuzhou 313000

We study a class of disturbed coupled Burgers *** approximate single-kink soliton solution is obtained by using the asymptotic method.

关键词： method. soliton asymptotic

Asymptotic Solutions to a Nonlinear Climate Oscillation model

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Atmospheric and Oceanic Science Letters 2008年第1期1卷 40-44页

作者： LIN Yi-Hua LIN Wan-Tao mo jia-qi LASG Institute of Atmospheric Physics Chinese Academy of Sciences Beijing 100029 China Department of Mathematics Anhui Normal University Wuhu 241000 China Division of Computational Science E-Institutes of shanghai Universities at SJTU Shanghai 200240 China

A class of nonlinear global climate oscillation models is considered. Using perturbation theory and its methods, solutions to the asymptotic expansions of some related problems are constructed. These asymptotic expansions of the solutions for the original problem possess a higher approximation. The perturbed asymptotic method is an analyti cmethod.

关键词： nonlinear global climate asymptotic solution

SINGULAR PERTURBATION FOR A CLASS OF NONLINEAR REACTION DIFFUSION SYSTEMS

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Science China Mathematics 1989年第11期32卷 1306-1315页

作者：莫嘉琪 Anhui Normal University Wuhu 241000 PRC

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 an... 详细信息

关键词： singular perturbation differential inequality reaction diffusion system.

一类广义Sine-Gordon扰动方程的解析解

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物理学报 2009年第5期58卷 2930-2933页

作者：莫嘉琪安徽师范大学数学系芜湖241000 上海高校计算科学E-研究院上海交通大学研究所上海200240

利用同伦映射方法研究了一类广义Sine-Gordon方程.首先引入一个同伦变换.然后构造了原方程解的迭代关系式.最后得到了问题的解析解.

关键词：孤子扰动同伦映射