一类非线性方程激波位置的转移

讨论一类非线性方程的激波位置，得出了在一定的情况下，当边界条件作微小的变化时，激波的位置将作较大的偏移，甚至由内层转到边界层。     

具有边界摄动的非线性反应扩散方程奇摄动问题

研究了具有边界摄动的非线性反应扩散方程奇摄动问题．在适当的条件下,利用微分不等式理论,讨论了问题解的渐近性态．     

非线性超抛物型方程广义渐近解的研究

讨论了一类超抛物型方程的非线性奇摄动问题.首先引入了相应问题的比较定理,然后利用奇摄动方法构造了问题的形式渐近解,最后利用比较定理,证明了问题广义解的存在性及其渐近性态.     

两参数非线性发展方程的奇摄动尖层解

本文研究了一类具有非线性发展方程奇摄动问题.引入伸长变量和多重尺度,构造了初始边值问题外部解和尖层、边界层和初始层校正项,得到了问题形式解.利用不动点定理,证明了问题的解的一致有效性.推广了对两参数的奇摄动问题的研究结果.     

Homotopic mapping solitary traveling wave solutions for the disturbed BKK mechanism physical model

Using the trial equation method,a Broer–Kau–Kupershmidt(BKK)mechanism physical model is obtained,and the exact and approximate solitary traveling wave solutions are found.As an example,it is pointed out that the solitary traveling wave approximate solutions have better accurate degree by using the homotopic mapping theory.     

Approximate Analytic Solution of Solitary Wave for a Class of Nonlinear Disturbed Long-Wave System

In this paper, the approximate expressions of the solitary wave solutions for a class of nonlinear disturbed long-wave system are constructed using the homotopie mapping method.     

一个厄尔尼诺大气物理非线性模型

作者研究了一个厄尔尼诺大气物理振子模型.利用同伦方法, 构造了对应问题解的近似展开式.     

Singular perturbation of initial-boundary value problems for a class of reaction diffusion systems

In this paper,a class of singularly perturbed initial-boundary value problems for thereaction diffusion systems is considered.Using the theory of differential inequality,weprove that the initial-boundary value problems have a solution and obtain their asymptoticexpansion.     

一类反应扩散方程组初值-边值问题的奇摄动

本文研究了一类反应扩散方程组的奇摄动初值一边值问题.利用微分不等式理论证明了该问题存在一个解并得到了其解的渐近展开式.     

A class of singularly perturbed reaction diffusion systems

A class of singularly perturbed reaction diffusion systems are considered. Under suitable conditions, using the comparison theorem the asymptotic behavior of solution for the initial boundary value problems is studied. Project supported by the National Natural Science Foundation of China