精确解

We apply the method to Boussinesq equation and combine Wu algebraic elimination method, many new exact solutions are obtained.

把它应用到Boussinesq方程上去并和吴方法结合在一起获得了新的精确解。

The NODE can be solved by F-expansion,which can be thought of as a generalization or concentration of the Jacobi elliptic function expansion method.

在求非线性数学物理方程的精确解方面，最近提出的F-展开法[3~13]是很有效的工具。

This dissertation mainly studies finding exact solutions of some nonlinear evolution equation arrising from physics.

本文主要研究了在物理学领域中提出的一些非线性演化方程或方程组的精确解的求解问题。

Symmetry methods play a key role in the researches of exact solutions of partial differential equation.

对称群方法在研究偏微分方程精确解的过程中扮演着重要的角色。

Chapter 2 concerns the construction of exact solutions of nonlinear partial differential equation under the uniform frame work of "AC=BD" theory.

第二章在"AC=BD"统一理论框架下考虑非线性偏微分方程精确解的构造。

Chapter 2 concerns the construction of exact solutions to nonlinear partial differential equation under the uniform frame work of "AC=BD" theory.

第二章在"AC=BD"统一理论框架下考虑非线性偏微分方程精确解的构造。

In this dissertation, by applying the ideas of the mathematics mechanization, under the instruction of " AC=BD" theory of Professor Zhang Hongqing, we consider some methods seeking exact solutions to nonlinear partial differential equation arising from the fields of elasticity, fluid mechanics, aerodynamics, plasma physics, biophysics and chemical physics.

本文根据数学机械化的思想，在导师张鸿庆教授"AC=BD"理论的指导下，研究在弹性力学、流体力学、空气动力学、等离子体物理、生物物理和化学物理等现代科学技术中引出的非线性偏微分方程求精确解的方法。

In the chapter 1, we introduce some methods to study the exact solution of nonlinear partial differential equations.

第一章中我们简述了一些研究非线性偏微分方程精确解的方法。

It is an important and old research work for obtaining the exact solution of differential equations.

求解微分方程的精确解在理论和实际中都是重要而古老的研究课题。

By virtue of a two-mode approximation and a rotating-wave approximation, an exact solution of the system is given.

利用双模近似和旋转波近似，得到了系统的精确解。

Cynanchum Lingtai apricot production in the average weight 65 grams, the brightly-colored fruit, juicy rich, sweet-sour taste, sweet from the nucleolus, when the late Qing Dynasty famous Shaanxi, Gansu provinces, the Qing imperial court Tongzhi tribute for years.

灵台生产的牛心杏平均单果重65克，果实色泽鲜艳，汁多味浓，甜酸适口，离核仁甜，清末时就驰名陕、甘两省，清同治年间曾为朝廷贡品。

Chenopodium album,Solanum nigrum, and Amaranthus retroflexus were very susceptible to the herbicides. Polygonum persicaria and Abutilon theophrasti were relatively less susceptible to the herbicides, and Lycopersicon esculentum was not susceptible to it. The relationship between reduction rates of weed biomass and PPM values of weed leaves 2,4, and 6 days after treatment was established.

供试的6种杂草对该混剂的敏感性存在显著差异：红心藜Chenopodium album、龙葵Solanum nigrum和反枝苋Amaranthus retroflexus对该混剂最敏感，ED90值分别为47.65、71.67和29.17g/hm2；春蓼Polygonum persicaria和苘麻Abutilon theophrasti敏感，ED90值分别为96.91、114.20g/hm2；而番茄不敏感。