Meanwhile,a interesting mathematical function,Jacobi theta functionθ_3,is introduced.
用路径积分的分析方法求得了一维无限深势阱中粒子的传播函数,并由传播函数导出了粒子的波函数和能量,展示了路径积分与传统方法的等价性,同时还介绍了一种有用的数学函数——雅可比θ_3函数。
Application of Jacobi elliptic functions in the atmospheric and oceanic dynamics: studies on two-dimensional nonlinear Rossby waves;
雅可比椭圆函数在大气和海洋动力学中的应用:二维非线性Rossby波研究
By means of Jacobi elliptic function expansion method,some new exact solutions of periodic waves and solitary waves to Zakharove system are obtained.
利用行波约化的方法把Zakharov方程组变换成非线性常微分方程,用雅可比椭圆函数展开法对其求解,得到了Zakharov方程的一些新的精确周期波解和孤波解。
In this paper an exteded Jacobian elliptic function expansion method is applied to construct the exact periodic solutions of the nonlinear Klein-Gordon equation.
对雅可比椭圆函数展开法加以扩展,并且用于求解非线性Klein-Gordon方程,得到了四组新的精确周期解和文献[9]中的四组解。
Starting with properties of cubic parabola, it is demonstrated elementarily that solving elliptic equations using Jacobian elliptic functions, analytic solutions for a class of nonlinear wave equations and properties of nonlinear waves can be obtained, especially for solitary waves.
从立方抛物线的特性谈起 ,用较初浅的方法 ,借助于雅可比椭圆函数求椭圆方程的解 ,说明一类非线性波方程可用行波法求解析解 。
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
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
Weierstrass elliptic function solutions for MKdV equations;
MKdV方程的Weierstrass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。
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
The Analysis of the Best Window Function Based on PSWF
基于椭圆球面波函数的最佳窗函数分析
Liouville Theorem and Green Function for Degenerate Elliptic Equations;
退化椭圆型方程的Liouville定理及Green函数
The Equivalence of Discrete Logarithms between Elliptic Curve and Real Quadratic Function Field;
椭圆曲线与实二次函数域的DLP等价
Elliptic Genera and Theta Functions Identities;
椭圆亏格及theta函数的恒等式
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
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
Energy Concentration Analysis of Bandpass Prolate Spheroidal Wave Functions
带通椭圆球面波函数能量聚集性分析
A Solution of a Revolving Single Pendulum usIng Jacobi Elliptic Function
“旋转单摆”的Jacobi椭圆函数解
Simulating Rice Leaf Angle Inclination Distribution by Elliptical Distribution Function
椭圆分布函数模拟水稻冠层叶倾角分布
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