singular elliptic function

By using the elliptic function and conformal transformation theory,a close form solution to this problem is obtained.

运用椭圆函数和保角变换理论,获得了该问题严格的闭合解。

Phase plane properties of an electron in Wiggler field are analysed by using Jacobian elliptic function and elliptic integral based on the pendulum equation for FEL.

从自由电子激光器的摆方程出发,利用Jacobian椭圆函数和椭圆积分分析了系统的相平面特征,并利用加速器概念和束流动力学方法,讨论了系统的稳定性、增益和临界特征等问题。

A class of new doubly periodic wave solutions for(2+1)-dimensional breaking soliton equation are obtained by introducing appropriate Jacobi elliptic function and Weierstrass elliptic function in the general solution(contains two arbitrary functions)got by means of multilinear variable separation approach for(2+1)-dimensional breaking soliton equation.

在多线性分离变量法所得(2+1)维破裂孤子方程广义解(包含2个任意函数)中引入符合条件的Jacobi椭圆函数和Weierstrass椭圆函数,从而获得了该系统的新双周期解。

Using program of singular function to calculate internal forces of bending pole;

利用奇异函数编程计算承弯杆件内力

There is a mistake about singular function calculation in the book of "Electric Circuit",which is widely used as the textbook by many colleges.

在目前高校广泛使用的《电路》一书中,出现了一处关于奇异函数的计算疏忽:计算结果遗漏了冲激项。

By means of singular functions, the equations of moment, torque and bending section modulus are given and the general expressions are derived for calculating the torsional stress, angle and deflection of the shaft under complex loads.

利用奇异函数描述轴的弯矩方程、扭矩方程和抗弯截面模量方程,推出在任何载荷作用下传动轴所受应力、转角和挠度的通用方程式,采用一维优化方法,借助计算机技术求解传动轴在复杂载荷作用下的强度与刚度,突破了传统求解方法,便于计算机编程处理,适应范围广,对受不同载荷以及含有不同几何形状的阶梯轴具有通用性,且可提高机械工程设计效率,具有较高的工程实用价值。

Method of establishing the deflection curve of a beam by singularity functions;

奇异函数建立梁挠曲线初参数方程的方法

Study of the elastic mechanics problem in narrow rectanglar girder by the singularity function;

狭矩形截面梁弹性力学问题的奇异函数法研究

Based on the improved story analysis model that is used to be widespread, the author sets up a new model with rigid-suspended-joints in core-tube suspended structure, and deduces flank-displacement rigidity matrix used singularity function.

对悬挂结构研究所广泛使用的吊点铰接的层间剪切模型进行了改进 ,建立了中央核筒式把吊点改为刚接的高层建筑悬挂结构体系的新的计算模型 ,利用奇异函数推导了结构的侧移刚度矩阵 ,并进行了动力特性分析 。

In this paper,via the variational methods and analytic technique,we prove the existence of positive solutions for the singular elliptic equation-△ u-μ■=u■u + λu■u with Dirichlet boundary condition.

运用变分方法和分析技巧证明了下列带有Dirichlet边值条件的奇异椭圆方程正解的存在性:-"u-"ux 2=u 2*-2u+#u q-2u,所得结果与参数$,"和q密切相关。

We consider a kind of singular elliptic equation and solve it by various methods which embodies the power of abstract analysis to partial differential equations.

给出一类奇异椭圆方程解的存在性结果。

Weierstrass elliptic function solutions for MKdV equations;

MKdV方程的Weierstrass椭圆函数解

A Relationship Between the Hasse-Weil Zeta Function of an Elliptic Curve and Those of its Forms

椭圆函数和它的form的Hasse-Weil Zeta函数的一个关系

Exact Analysis of Single Pendulum by Jacobi Ellipse Function;

利用Jacobi椭圆函数精确分析单摆的运动

Historical Analysis on the Theory of the Elliptic Function;

雅可比建立椭圆函数理论的历史分析

Jacobi Elliptic Function Expansion Method To KdV Equations;

KdV方程的Jacobi椭圆函数求解

New Jacobian elliptic function solutions for nonlinear evolution equations

非线性演化方程的新Jacobi椭圆函数解

A Solution of a Revolving Single Pendulum usIng Jacobi Elliptic Function

“旋转单摆”的Jacobi椭圆函数解

The Jacobi Elliptic Function Solutions for Several Nonlinear Partial Differential Equations;

几种非线性偏微分方程的Jacobi椭圆函数解

The Applications of Jacobi Elliptic Function in Solving Nonlinear Evolution Equations;

Jacobi椭圆函数在求解非线性发展方程中的应用

Weierstrass Elliptic Function Solutions to a New Type of NLS Equations;

一类非线性薛定谔方程的Weierstrass椭圆函数解

Jacobi Elliptic Function Expansion Methed to a New Type of NLS Equations;

一类非线性薛定谔方程的Jacobi椭圆函数解

Periodic Waves and Solitary Waves in Zakharov System by a Jacobi Elliptic Function Approach;

Zakharov系统的雅可比椭圆函数的周期波和孤立波

Jacobi Elliptic Function Method Applied to Nonlinear coupled Scalar Field Equation;

非线性耦合标量场方程的Jacobi椭圆函数求解

Jacobi elliptic function expansion method to coupled nonlinear KdV equations;

耦合非线性KdV方程组的Jacobi椭圆函数求解

The Doubly Jacobi Elliptic Function Expansion Method and its Application to KdV Equations;

双Jacobi椭圆函数展开法及其对KdV方程求解

Applications of Expansion Method about the Jacobi Elliptic Function to Several Nonlinear Wave Equation(s);

用Jacobi椭圆函数展开法求解非线性波动方程(组)

Jacobi Elliptic Function Solutions to the Nonlinear Discrete Schrdinger Equation

非线性离散薛定谔方程的Jacobi椭圆函数解

The earliest automorphic functions to be studied were the elliptic modular functions.

研究得最早的自导函数是椭圆模函数。