查询词典 elliptic function

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。

In this paper,using the theory of planar dynamical system and the method of Jacobian elliptic function,the generalized Boussinesq equation is studied.

1引言非线性Boussinesq方程在物理学和流体力学领域是一个非常重要的数学模型，主要用于描述在弱非线性条件下和弱介质中的波的传播[2-7]。

Based on the principle of homogeneous balance, these equations were resolved by Jacobi elliptic function expansion method.

根据齐次平衡原理，用Jacobi椭圆函数展开对这些演化方程进行了求解，在一定的条件下它们均可能存在孤立波解或冲击波解，这与方程的定性分析完全一致。

In this paper, the Jacobi elliptic function method is generalized to study nonlinear coupled scalar field equation , and a lot of new analytic solutions of nonlinear coupled scalar field equation are obtained.

推广了Jacobi椭圆函数展开方法，研究了非线性耦合标量场方程组的求解问题，得到了更多更新的非线性耦合标量场方程组的解释解。

It briefly includes several following aspects: First, Jacobi elliptic function were introduced and some of its main characters were discussed simply.

本文首先简要介绍了Jacobi椭圆函数及其性质，然后介绍了非线性发展方程的Jacobi椭圆函数展开法和目前的一些演化和扩展情况，最后着重介绍本人对Jacobi椭圆函数在求解非线性发展方程中的应用方面所作的研究。

In this paper, applications of theJacobi elliptic function expansion method and F-expansion method in constantand variable coe?cient nonlinear evolution equation are considered.

本文主要讨论了Jacobi椭圆函数展开法和F-展开法在求解常系数和变系数非线性波动方程中的应用。

Extended elliptic function expansion method is applied to construct the explicit exact solutions of the Zakharov Equation.

将改进的Jacobi椭圆函数展开法应用到Zakharov方程，比较方便地得到新的解析周期解(包含冲击波解、孤波解和双曲函数解)。这种方法也适用于其他非线性方程或方程组

When A is an even integer, the operator obtained by us include the example given by Boca. When A is an odd integer, we give a new closed form of projection operator in terms of elliptic function.

这些算子在A为偶数时包括了Boca的著名例子，而在A为奇数时给出了新的由椭圆函数表达的有限形式。

Double pendulum ; analytic method ; Whittaker's theorem ; elliptic function ; integrable system

双摆；解析方法；惠特克定理；椭圆函数；可积系统

Some problems concerning the adjusting factors in the commonly used Thompson method in the generation of curvilinear grid are described. From another point of view, with the aid of some natural phenomena which correspond to elliptic function relationship, a new expression of adjusting factors is derived.

指出了常用Thompson方法中调节因子对生成网格曲线所存在的问题；从另一角度发出，借助于自然界符合椭圆型函数关系的某些物理现象，导出了一种新的调节因子表达式，并着重探讨分析了该因子的适用条件。

If you were not , and OS X just booted normally, have no fear.

如果你没有，和OS X刚刚启动通常，没有恐惧。

I only want to preserve our all .

我只想保存好我们的一切