查询词典 nonlinear equation

Finally, with help of a auxiliary equation,a set of sufficient conditions for the global stability of higher order rational difference equations were obtained.

同时，在每章的最后列举了一部分可以用本章所介绍的方法进行研究并可以证明其全局渐近稳定性的方程。

Some new exact solitary wave solutions of an auxiliary ordinary differential equation were obtained by the trial method.

通过试探方法得到辅助常微分方程的一些新的孤波解。

First, calculate matrix equation of the auxiliary steam,draw heat distribution based on energy conservation.

首先由建立的考虑辅汽的矩阵方程进行计算，得出以能量守恒为基础的热量利用分布；进而通过热力系统单元的划分，利用火用分析法计算得出系统的火用损失分布规律，并绘制出火用流图。

Then by using the Riemann's function of the operator and constructing an auxiliary problem, an integrodifferential equation equivalent to former problem is got.

然后利用该算子的Riemann函数，通过构造辅助问题，得到了一个等价积分微分方程。

Then by using the Riemanns function of the operator and constructing an auxiliary problem, an integrodifferential equation equivalent to former problem is got.

然后利用该算子的Riemann函数，通过构造辅助问题，得到了一个等价积分微分方程。

First, calculate matrix equation of the auxiliary steam,draw heat distribution based on energy conservation. Then through modules division of the thermal system, calculated distribution of energy loss using energy analysis system, and draw a flow diagram.

首先由建立的考虑辅汽的矩阵方程进行计算，得出以能量守恒为基础的热量利用分布；进而通过热力系统单元的划分，利用火用分析法计算得出系统的火用损失分布规律，并绘制出火用流图。

The auxiliary equation is directly applied to solve the (2+1)-dimensional dispersive long wave equations and the solitary wave solutions and triangular periodic wave solutions are obtained.

利用该辅助方程直接求解了(2+1)维色散长波方程，结果获得了一些孤立波解和周期解，其中包括一些新解。

The many exact solutions, such as, trigonometric function, solitary pattern solutions, solitary wave solutions, Jacobi and Weierstrass elliptic function solutions are given by the auxiliary equation method.

近来，随着计算机技术的发展，关于孤立波的研究越来越多的依赖于计算机软件的应用，随之产生了一系列求解非线性波动方程的新方法，并且这些方法逐渐的被应用到离散的非线性微分—差分系统中来研究离散系统的孤立波问题。

Based on the chemical equilibrium flow assumption, the electron density at the exit of the nozzle is determined using the minimum free energy rule. A numerical model based on auxiliary difference equation is derived to simulate the plasma in the time domain and the calculating results are compared with that using Z transform.

以化学平衡流动为前提，采用最小自由能方法确定火箭发动机喷口处的电子密度；验证了基于辅助差分方程和Z变换方法对羽流电磁特性进行时域建模的正确性。

Mathematics mechanization; Symbolic computation; Exact solution; Auxiliary equation method; Soliton

基础科学，数学，数学分析数学机械化；符号计算；精确解；辅助方程法；孤立子

In contrast to the ubiquitous rising-sun-with-rays military flag of the Japanese, Chinese banners and ensigns feature a range of designs.

与遍地都是的太阳军旗不同，中国人的旗帜和徽章设计得各式各样。

From their small corner of Feng's Guangzhou headquarters -- a jumble of pink leashes, squeezable rubber steaks, and plastic doggy Santas for Fido's stocking -- Soleil's designers come up with at least five new products a month.

从Feng 设在广州总部的产品展示柜台上可以看到，Soleil的设计师每月至少设计出5件新产品。