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相关机构：安徽师范大学上海交通大学中国科学院大气物理研究所湖州师范学院更多>>
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Shock Wave Solution for a Class of Nonlinear Nonlocal Singularly Perturbed Fractional Differential Equation
《Wuhan University Journal of Natural Sciences》2017年第1期13-18,共6页SHI Juanrong MO Jiaqi 
Supported by the National Natural Science Foundation of China(40676016);the Natural Science Foundation of the Education Department of Anhui Province(KJ2015A418)
A class of boundary value problems for the nonlinear nonlocal singularly perturbed fractional differential equation is considered.Firstly,the outer solution of the original problem is obtained.Secondly,by using the st...
关键词：NONLINEAR fractional differential equation SHOCKWAVE 
一类非线性非局部扰动LGH方程的孤子行波解被引量：11
《应用数学和力学》2016年第4期426-433,共8页冯依虎 莫嘉琪 
国家自然科学基金(40676016);安徽省教育厅自然科学基金(KJ2015A347);安徽省高校优秀青年人才支持重点项目(gxyq ZD2016520)~~
利用经过改进的泛函分析变分迭代方法讨论了一类非线性非局部Landau-Ginzburg-Higgs(LGH)微分方程.首先,做行波变换,引入泛函,并求出其变分,令其为0,得到了Lagrange(拉格朗日)算子应满足的条件,并求出它.然后,引入一个经过改进的变分迭...
关键词：行波 非线性 非局部 
具有双参数的四阶非线性方程边值问题的奇摄动解(英文)被引量：8
《数学进展》2010年第6期736-740,共5页莫嘉琪 
Project supported by the NSFC(No.40676016,No.40876010);The Knowledge Innovation Project of the Chinese Academy of Sciences(No.KZCX2-YW-Q03-08);The LASG Stale Key Laboratory Special Fund and in part by E-Institutes of Shanghai Municipal Education Commission(No.E03004)
本文讨论了一类具有双参数非线性方程奇摄动边值问题.引入伸长变量,构造了问题的形式渐近解.利用微分不等式理论,证明了边值问题渐近解的存在性和一致有效性.由解的结构指出,在两参数一定的情况下,相应问题的解只具有一个边界层.
关键词：非线性 两参数 奇摄动 
一个广义扰动mKdV耦合系统2极孤子的近似解被引量：2
《物理学报》2010年第8期5190-5193,共4页莫嘉琪 姚静荪 
国家自然科学基金(批准号:40676016;40876010);中国科学院知识创新工程重要方向性项目(批准号:KZCX2-YW-Q03-08);LASG国家重点实验室专项经费;上海市教育委员会E-研究院建设计划(批准号:E03004);浙江省自然科学基金(批准号:6090164)资助的课题~~
采用了一个简单而有效的技巧,研究了一类扰动mKdV耦合系统.首先利用变分迭代方法求解一个相应的复值函数微分方程2-极孤子的近似解.然后得到了原扰动mKdV耦合系统2-极孤子的近似解.
关键词：孤子 扰动mKdV方程 变分迭代 
The periodic solution to the model for the El Nio-Southern oscillation
《Chinese Physics B》2010年第3期1-3,共3页李晓静 
Project supported by the National Natural Science Foundation of China (Grant No. 40676016);the Natural Science Foundationof Jiangsu Province of China (Grant Nos. BK2009105 and BK2008119);the Natural Science Foundation of Jiangsu Education Committee,China (Grant Nos. 09kjd110001 and 08kjb110011);Key Natural Science Foundation by the Bureau of Education of Anhui Province of China (Grant No. KJ2008A05ZC);Jiangsu Teachers University of Technology Foundation (Grant No. KYY08033)
A class of oscillator of the EI Nifio-Southern oscillation model is considered. Using Mawhin＇s continuation theorem, a result on the existence of periodic solutions for ENSO model is obtained.
关键词：NONLINEAR coincidence degree periodic solution ENSO model 
具有奇性方程的非线性奇摄动问题的正解(英文)被引量：1
《应用数学》2010年第1期13-17,共5页莫嘉琪 
Supported by the National Natural Science Foundation of China(40676016);the National Key Project for Basics Research(2003CB415101-03 and 2004CB418304);the Key Project of the Chinese Academy of Sciences(KZCX3-SW-221);in part by E-Insitutes of Shanghai Municipal Education Commission(E03004)
本文讨论了一类具有奇性方程的奇摄动初值问题.在适当条件下,利用微分不等式理论,研究了初值问题解的存在性及其渐近性态,并且得到了具有初始层的一致有效解的渐近展开式.
关键词：非线性 奇性方程 奇摄动 
一类非线性扰动Nizhnik-Novikov-Veselov系统的孤立波近似解析解被引量：6
《物理学报》2010年第5期2919-2923,共5页莫嘉琪 陈贤峰 
国家自然科学基金(批准号:40676016,40876010);中国科学院知识创新工程重要方向项目(批准号:KZCX2-YW-Q03-08);LASG国家重点实验室专项经费;上海市教育委员会E-研究院建设计划(批准号:E03004);公益行业(气象)科研专项(批准号:GYHY200806010);浙江省自然科学基金(批准号:6090164)资助的课题~~
采用了一个简单而有效的技巧,研究了一类非线性扰动Nizhnik-Novikov-Veselov系统.首先引入一个相应典型系统的孤立波解.然后利用同伦映射方法得到了原非线性扰动Nizhnik-Novikov-Veselov系统的近似解析解.
关键词：孤立波 扰动Nizhnik-Novikov-Veselov系统 同伦映射 
ASYMPTOTIC SOLUTION TO NONLINEAR REACTION DIFFUSION EQUATION WITH TWO SMALL PARAMETERS
《Annals of Differential Equations》2010年第1期100-104,共5页Jingsun Yao, Jiaqi Mo (Dept. of Math., Anhui Normal University, Wuhu 241000, Anhui Division of Computational Science, E-Institutes of Shanghai Universities, at SJTU, Shanghai 200240) 
Project supported by the National Natural Science Foundation of China (40676016 and40876010);the Knowledge Innovation Project of Chinese Academy of Sciences (KZCX2-YW-Q03-08);LASG State Key Laboratory Special Fund and E-Institutes of Shanghai Municipal EducationCommission (E03004)
In this paper, a class of nonlinear reaction diffusion singularly perturbed problem with two parameters is studied. Using the singular perturbation method, the structure of solution to the problem is discussed related...
关键词：reaction diffusion equation singular perturbation initial boundary value problem 
Existence and asymptotic estimates of periodic solutions of El Nio mechanism of atmospheric physics被引量：1
《Chinese Physics B》2010年第2期9-12,共4页李晓静 
supported by the National Natural Science Foundation of China (Grant No. 40676016);the Natural Science Foundation of Jiangsu Province of China (Grant Nos. BK2009105 and BK2008119);the Natural Science Foundation of Jiangsu Education Committee, China (Grant Nos. 09kjd110001 and 08kjb110011);Key Natural Science Foundation by the Bureau of Education of Anhui Province of China (Grant No. KJ2008A05ZC);Jiangsu Teachers University of Technology Foundation (Grant No. KYY08033)
This paper is devoted to studying the El Nino mechanism of atmospheric physics. The existence and asymptotic estimates of periodic solutions for its model are obtained by employing the technique of upper and lower sol...
关键词：nonlinear time delay El Nino phenomenon periodic solution 
Solvability for Nonlinear Reaction Diffusion Equation with Boundary Perturbation
《Wuhan University Journal of Natural Sciences》2009年第6期481-483,共3页CHEN Lihua1, MO Jiaqi2,3 1. Department of Mathematics and Computer Science, Fujian Normal University, Fuqing 350300, Fujian, China 2. Department of Mathematics, Anhui Normal University, Wuhu 241000, Anhui, China 3. Division of Computational Science, E-Institutes of Shanghai Universities at Shanghai Jiao Tong University, Shanghai 200240, China 
Supported by the National Natural Science Foundation of China (40676016 and 40876010);the Knowledge Innovation Project of Chinese Academy of Sciences (KZCX2-YW-Q03-08);Construct Project of E-Institutes of Shanghai Municipal Education Commission (E03004)
In this paper, the nonlinear reaction diffusion equation with boundary perturbation is considered. Using discussions on solvability, the perturbed solution of original problem is obtained, and the uniform validity of ...
关键词：PERTURBATION nonlinear reaction diffusion equation SOLVABILITY 
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