To eliminate the difficulty in dealing with convection terms, an exponential transformation function is introduced to turn the CDE into their equivalent diffusion-reaction equations (DRE).
引入指数函数，将对流扩散方程变换为扩散反应方程，消除了数值求解中较难处理的对流项。
The generalized conditional symmetry; Exact solutions; The nonlinear reaction diffusion equations; symmetry group.
广义条件对称；精确解；非线性反应扩散方程；对称群。
The reaction diffusion problems with ultra parabolic equations are considered.
讨论了一类具有超抛物型方程的反应扩散问题。
The nonlinear singularly perturbed interior layer problems of the reaction diffusion equations were considered.
研究了具有非线性反应扩散方程奇摄动内层问题。
A class of singularly perturbed initial boundary value problems for reaction diffusion equations in a part of domain are considered.
讨论一类在部分区域上的奇摄动反应扩散方程初始边值问题。
Many models in various field of applications, such as biology, ecology and biochemistry, can be described by nonlinear reaction-diffusion equations with time delays.
生物学、生态学、生物化学等应用领域中的许多模型都可以用非线性时滞反应扩散方程来描述。
A class of singularly perturbed initial boundary value problems for reaction diffusion equations in a part of domain are considered.
本文是讨论一类在局部区域上的奇摄动反应扩散初始边值问题。
In this paper, several kinds of reaction-diffusion ecological systems with three or more than three equations are studyed and some valuable results are obtained.
本文着重研究了几类三维或三维以上的反应扩散生态系统，得到了一些有益的结果。
My current research interests include theory of delay differential equations and reaction-diffusion equations and also their application to neural networks and biological dynamic systems.
研究方向包括时滞微分方程和反应扩散方程理论及其在神经网络和生物动力系统方面的应用。
A mathematical model, which has the form of reaction-diffusion equations and is describing the dynamics of self-organization process, is established from the main reactions.
从主要反应式中得到一个反应扩散方程组形式的，描述其自组织过程动力学的数学模型。
Firstly sufficient conditions for the existence of periodic solution are obtained by comparison theory of reaction-diffusion differential equations;
利用反应扩散方程的比较原理给出了系统存在周期解的充分条件。
Firstly sufficient conditions for the existence of periodic solution are obtained by comparison theory of reaction-diffusion differential equations;
利用反应扩散方程的比较原理给出了系统存在周期解的充分条件。
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