2) Riccati equations
Riccati方程组
1.
By using two extended Riccati equations and Mathematica software,the author obtains exact solutions to the Variable Coefficient Burgers Equation with forced term outside and Witham-Broer-Kaup equation,including many kinds of solitary-wave-like solutions,like periodical solutions and solitary wave solutions with variable speed,many of which are found for the first time.
借助两个推广形式的Riccati方程组和Mathematica软件,求出了具外力项变系数Burgers方程和Witham- Broer-Kaup方程的一些精确解,包括各种类孤立波解、类周期解和变速孤立波解,其中许多解是新的。
2.
By constructing one new Riccati equations and using the generalixed Riccati method,we simplified the form and enriched the general results.
通过构造新的Riccati方程组,推广了Riccati方法,使其具有简洁的形式,丰富和发展了已有的结果,借助Mathematica软件,进一步获得了KdV-Burgers方程的一些新的孤波解。
3.
By using two extended Riccati equations and Mathematica software,exact solutions Of(2+1)-dimensional Broer-kaup equations with variable coefficients are obtained.
基于齐次平衡原则和分离变量法的思想,通过两个推广的Riccati方程组和Mathematica软件,求出了变系数(2+1)维Broer-kaup方程的一些精确解,包括各种类孤立波解、类周期解,其中许多解是新的。
3) Riccati equations
Riccati方程
1.
On General Solutions of A Class of Riccati Equations;
一类Riccati方程的通解的问题
2.
The existence of particular solutions for a class of Riccati equations is studied by means of variation of constants and initial integral methods.
利用常数变易法以及初等积分法研究了一类Riccati方程的特解存在性,结果推广了以前所知结果。
3.
This paper gives an estimate of upper bounds of the (n,1) order of meromorphic solutions of Riccati equations and another sort of typical differential equations and proves the conjecture of under some condition.
本文给出 Riccati方程及另外一类具有代表性微分方程的亚纯解 (n,1 )级的上界估计 ,在一定条件下确立了文 [2 ]中的猜测的正确
4) complex Riccati equation
复Riccati方程
1.
An exact solution method for nonlinear evolution equations with the help of complex Riccati equation is introduced.
介绍了借助于复Riccati方程求非线性发展方程的精确解的方法。
5) Riccati equation
Riccati方程
1.
System optimization design for passive sensor network based on the modified Riccati equation;
被动传感器网基于修正Riccati方程的系统优化设计
2.
Haar wavelet solution to initial value of Riccati equation numerical value;
Riccati方程初值问题的Haar小波数值解法
3.
Nonlinear reduced-order observers based on the solution of Riccati equation;
基于Riccati方程解的非线性降维观测器
6) Riccati equation
Riccati方程组
1.
By construction of two new Riccati equations,Based on the idea of homogeneralization balance principle and variable separation approach,by usingMathematica Software.
本文通过构造两个新的Riccati方程组,应用齐次平衡原则和分离变量法的思想,借助Mathematica软件,得到了变系数(2+1)维非线性色散长波方程的一系列新的精确解。
补充资料：第二类拉格朗日方程
见拉格朗日方程。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条