hyperelliptic function field

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。

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。