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1)  nonlinear terms of higher order
高阶非线性项
1.
In this paper, we obtain some formula for exact periodic solutions to Lienard equations with nonlinear terms of higher order, also derived are the exact periodic wave solutions to a sort of nonlinear evolution equations with nonlinear terms of higher order by those obtained formulae, the repeatation of similar processes are thus avoided.
本文导出了具高阶非线性项的Lienard方程的准确周期解并从理论上给予了证明,然后利用这些公式得到一大批具高阶非线性项的发展方程的各种Jacobi椭圆函数型的准确周期解,由此避免了一大类非线性发展方程求周期解时求解过程的重复。
2)  high-order nonlinearity
高阶非线性
1.
Considering the influence of high-order dispersion and high-order nonlinearity on quasi-soliton transmission, the effects of third-order dispersion, self-steepening and ISRS are investigated by numerical simulation.
为了研究高阶色散和高阶非线性效应对其在普通光纤上传输的影响,用数值模拟的方法研究了三阶色散、自陡效应和脉冲内拉曼散射效应对准光孤子传输的影响。
3)  higher order nonlinear
高阶非线性
1.
In order to obtain the phase plane of higher order nonlinear control system, a new graphic method of phase locus of phase plane for higher order nonlinear .
为得到高阶非线性系统的相平面,借助状态空间法,提出一种利用图解方法实现高阶非线性系统相轨迹的作图方法。
2.
In this paper a new concept of phase contrail of phase plane for higher order nonlinear control system based on isoclines method of second-order linear system is proposed.
提了基于二阶线性系统等倾线法绘制相平面原理,实现了高阶非线性控制系统相平面相轨迹的作图算法。
3.
A new simple algorithm to calculate the center and radius of an arc in order to realize the phase locus of higher order nonlinear control system based on the principle of plotting the phase plane of second-order linear system usingδmethod is proposed, and thus, the phase plane of the high-order nonlinear system has been obtained.
基于二阶线性系统δ法绘制相平面原理,提出一种新而简单计算圆弧圆心和半径的方法实现高阶非线性控制系统相轨迹的作图算法,从而得到高阶非线性控制系统相平面。
4)  first order of nonlinearity
一阶非线性项
5)  The generalizxed KdV equation with higher order nonlinear terms
高阶非线性项的广义KdV方程
6)  nonlinear and dynamic high dimensions
非线性高阶动态
补充资料:非线性光学高分子材料
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性质:指在激光以及外加场作用下产生非线性极化,具有强的光波间非线性相互作用的高分子材料。结构上没有对称中心的非线性光学材料称为二阶非线性光学材料,具有对称中心的称为三阶非线性光学材料。非线性光学材料按照物理性质和应用范围可以分成以下几类:(1)激光频率转换材料,用于激光的倍频、混频、参量振荡和放大等;(2)电光材料;(3)光折变材料;(4)声光材料;(5)磁光材料;(6)光感应双折射材料;(7)非线性光吸收材料。上述材料能在外加电、磁、力场,或直接利用光波本身电磁场对所通过光波的强度、频率和相位进行调制,主要用作光电技术中对光信号进行处理的各种器件制作。

说明:补充资料仅用于学习参考,请勿用于其它任何用途。
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