overdetermined system of partial differential equations

The paper rewrites the traffic flow macro models in the form of system of quasilinear hyperbolic partial differential equation of first order, and classifies the models in terms of the coefficient in the equation.

将交通流模型表示成拟线性一阶双曲型偏微分方程组;按照方程组中的系数值,对交通流的各种宏观模型进行了分类;依据特征线的特征速度是否小于宏观运动速度,模型是否依赖外来的速度-密度平衡关系以及模型代表的交通流特点等三项指标对模型进行了评价。

Existence and uniqueness of local analytic solution of the partial differential equations |k i| ux k i =A i(x,u,.

把柯西 -柯尔列夫斯卡娅定理推广到如下偏微分方程组 : | ki| u xki =Ai( x,u,… , |α| u xα )( i =1,… ,r, x =( x1 ,… ,xm) ,|α| =α1 +… +αm) 。

Hypercomplex function-the popularization of complex function on high dimension,has superiority on solving partial differential equations,which simplifies the process of solving many problems.

并以一个三元高次偏微分方程组和两个电磁场问题求解为例,用提出的方法得到了与经典求解法一致的结果。

Expansion method about the Jacobi elliptic function is firstly applied to systems of nonlinear partial differential equations.

首次将Jacobi椭圆函数展开法应用于求解非线性偏微分方程组,以变异的Boussinesq方程为例演示了方法的有效性,用此方法求出的精确周期解包含了冲击波解。

The idea of soluing is that nonlinear partial differential equations are changed into algebra equations.

通过函数变换,得到了Noyes-Field方程组及Burgers-KdV方程的行波解,求解的基本思路是把非线性偏微分方程组化为代数方程组求解,所用方法具有广泛的实用性。

overdetermined system of partial differential equations

偏微分方程的超定组

Oscillation Theorems for Systems of a Class of Second Order Partial Differential Equations;

一类二阶偏泛函微分方程组的振动性定理

OSCILLATION THEOREM ON SYSTEMS OF A CLASS OF IMPULSIVE DELAY PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS

脉冲时滞抛物型偏微分方程组的振动性定理

The Alternating Group Explicit Iterative Method for the Partial Differential Equation;

偏微分方程的交替分组显式迭代方法

A Class of Problem for Determining Solution of Second-order Linear Partial Differential Equations of the Solution of the Problem

一类二阶线性偏微分方程的定解问题

method of integration of partial differential equations

偏微分方程的积分法

Numerical Simulation of Water Hammer Partial Differential Equations Based on Wavelet Transform;

基于小波方法的水锤偏微分方程组数值模拟

fundamental solution of partial differential equation

偏微分方程的基本解

Reserches on the Value Distribution Theory and the Solutions of Systems of Higher-order Partial Differential Equations;

值分布理论及高阶偏微分方程组解的研究

Basic Finite Element Water-Hammer Partial Differential Equations Numerical Simulation and Inversion;

水锤偏微分方程组有限元方法正反演

Valuation of basket credit default swaps by partial differential equation method;

一篮子信用违约互换定价的偏微分方程方法

Oscillation of Systems of Even Order Nonlinear Neutral Partial Differential Equations;

偶数阶非线性中立型偏微分方程组的振动性

Oscillation of Solutions to Second Order Damped Time-Delay Partial Differential Equation Systems

二阶阻尼时滞偏微分方程组解的振动性

Oscillation of Solutions to a Class of Neutral Time-delay Parabolic Partial Differential Equation Systems

中立型时滞抛物偏微分方程组解的振动性

A Feature Analysis of Numerical Solution for Partial Differential Equations;

偏微分方程组数值解奇异性特征分析

The Expansions of Conservation Laws and Symmetries for a PDE(s) and Applications of Differential Form Wu s Method;

偏微分方程（组）对称和守恒律的扩充及微分形式吴方法的应用

Differential Characteristic Set Algorithm for the Complete Symmetry Classification of(Partial) Differential Equations

偏微分方程(组)完全对称分类微分特征列集算法

Numerical Solutions of Partial Differential Equations for Trivariate Option Pricing;

三元期权定价问题的偏微分方程数值解