高階非線性 的英文怎麼說
中文拼音 [gāojiēfēixiànxìng]
高階非線性
英文
schrdinger- 高 : Ⅰ形容詞1 (從下向上距離大; 離地面遠) tall; high 2 (在一般標準或平均程度之上; 等級在上的) above...
- 階 : 名詞1. (臺階) steps; stairs 2. (等級) rank 3. [醫學] (耳蝸的三個螺旋管的任一個) scala 4. [數學] order 5. [地質學] stage
- 非 : Ⅰ名詞1 (錯誤) mistake; wrong; errors 2 (指非洲) short for africa 3 (姓氏) a surname Ⅱ動詞1 ...
- 線 : 名詞1 (用絲、棉、金屬等製成的細長的東西) thread; string; wire 2 [數學] (一個點任意移動所構成的...
- 性 : Ⅰ名詞1 (性格) nature; character; disposition 2 (性能; 性質) property; quality 3 (性別) sex ...
- 高階 : high [higher] order高階導數 higher derivative; higher order derivative; derivative of higher orde...
- 非線性 : [數學] [物理學] [電學] nonlinearity; nonlinear
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Considering enough the property of the equa - tion, we prove existence of absorbing set of the solution in h ~ ( 1 ) by the method of changeing the higher order nonlinear term as nonnegative guadratic form and prove existence of absorbing set of the solution in h ~ ( 2 ) by the method of linear combining of energy inequality and multiform classical inequality
我們充分考慮方程的特點,將高階非線性項化為一非負定二次型使得解在h ~ 1中的吸收集的存在性得以證明。通過能量估計的巧妙組合以及多種形式的不等式進行精細的估計以獲得h 「的吸收集的存在性The solutions in the limit cases have also been studied
並研究了在極限情況下高階非線性薛定諤方程的解。Calculation of high - order nonlinear polarizability in single modle fiber
高階非線性極化率的遞推公式Starting from the higher order nonlinear schroedinger ( hnls ) equation, we investigate the propagation characteristics of ultrashort optical pulses in optical fibers from the analytic point of view
本文主要由描述超短光脈沖在光纖中傳輸的高階非線性薛定諤方程出發,從解析的角度對其傳輸特性進行了系統的研究。3 ) coupled higher - order nonlinear schr ( ? ) dinger equations ( chnlse ), governing the evolution of two orthogonal polarization components of ultrashort optical pulse in birefringent fiber, are derived from the dispersion relation
3 )從色散關系出發,推導了描述超短光脈沖不同偏振分量在雙折射光纖中傳輸特性的耦合高階非線性薛定諤方程( chnlse )與用多重尺度法得到的相同。From the analytical point of view, with the aid of the numerical simulation, we investigate the propagation properties of optical pulses for the nonlinear schrodinger equation in picosecond regime, the higher - order nonlinear schrodinger equation in femtosecond regime, the nonlinear schrodinger equation with varying gain / loss and frequency chirping in homogeneous optical fibers, and ginzberg - landau equation that describes ultrashort pulses in the presence of self - frequency shift, respectively
本文從解析的角度出發,同時藉助各種微擾理論和數值分析方法,分別研究描述皮秒光脈沖傳輸的非線性薛定諤方程、飛秒光脈沖傳輸的高階非線性薛定諤方程、非均勻光纖中光脈沖傳輸的含有頻率啁啾和增益損耗項的非線性薛定諤方程以及描述超短光脈沖傳輸的ginzberg - landau方程的解的特性,為進一步實現超高速、大容量的光信息傳輸提供一定的理論依據。It is found that the peak power of pump pulse is important and the fourth and fifth dispersions are crucial to flatly wideband sc generation from the fiber. the results show that the higher - order nonlinear effects on sc generation can be ignored
研究結果表明,泵浦脈沖峰值功率對sc譜的產生有著重要影響,光纖的四階、五階等高階色散的綜合作用對sc譜的形成起決定因素,高階非線性效應( raman自散射和自變陡效應)的影響可以忽略。Three shaped profiles ( parabola, linear, and exponential ) have been considered. the exponential dispersion profile fiber loop is optimal for the propagation and compression of picosecond pulse. on the contrary, the parabola dispersion profile fiber loop is optimal for femtosecond pulse due to the high order effects such as the third order dispersion ( tod ), stimulated raman scattering ( srs ) and self steeping ( ss )
( 3 )研究不同色散遞減類型(拋物線遞減、線性遞減、指數遞減)光纖構成的環形腔中傳輸的特性,發現其色散曲線為指數遞減型光纖有利於皮秒光脈沖的傳輸與壓縮;而對于飛秒脈沖,由於三階色散( tod ) 、脈沖拉曼自散射( srs )及自變陡( ss )等高階非線性效應的影響,情況恰恰相反;色散曲線為拋物線遞減型的光纖構成的光纖環最有利於脈沖傳輸與壓縮。This paper expatiated that the mathematics models of ac motor is higher order, non - linear and closed coupling, multivariable input - output system. and introduces the principle and the algorithm of sine pulse width modulation ( spwm ), opened - loop space voltage pulse width modulation control ( svpwm ) and field oriented control ( foc ). finally, realized the control strategies of variable - frequency speed regulating using assembly and c language
文中闡述了交流異步電機的數學模型是高階、非線性、強耦合的多變量輸入輸出系統,介紹了交流電機的正弦脈寬調制、開環電壓空間矢量的u / f控制和磁場定向控制的原理及控制演算法,並利用dsp構成控制系統,通過匯編語言和16位定點c語言混合編程的方法實現了上述的變頻調速控制策略。Generic model control for a class of high order nonlinear system
一類高階非線性系統的一般模型控制Oscillatory properties for higher - order nonlinear neutral equations
高階非線性中立型方程的振動定理Osciliation for higher order nonlinear neutral difference equation
高階非線性中立型差分方程的振動性Asymptotic behavior of higher order nonlinear neutral difference equation
高階非線性中立型差分方程的漸近性態Asymptotic behavior of solutions of higher order nonlinear difference equations
高階非線性變時滯差分方程解的漸近性Oscillations of higher order nonlinear impulsive differential equations with damping
高階非線性阻尼脈沖微分方程解的振動性Oscillation of a class of higher order nonlinear neutral partial differential equations
一類高階非線性中立型偏微分方程的振動性Forced oscillation of a class of nonlinear higher order functional differential equations
一類高階非線性泛函微分方程的強迫振動性The propagating characteristics of femtosecond pulse in this type of nolm are also investigated. the result shows that the optical switching is valid only under certain condition for femtosecond pulse due to the higher - order dispersions and nonlinear effects, especially the stimulated raman scattering ( srs ). moreover, analysis of the higher - order effects shows that srs enhances the pulse compression in some conditions
研究結果表明,由於受到高階色散及高階非線性效應的影響,特別是在受激拉曼自散射效應的影響下, nolm的開光特性只在一定條件下存在;並且通過對高階效應的分析比較,發現受激拉曼散射在一定條件下增強了飛秒脈沖的壓縮。By using the modified mapping method and the extended mapping method, we derive some new exact solutions of the higher order nonlinear schr ? dinger equation, which are the linear combination of two different jacobi elliptic functions
摘要通過修正的映射方法和推廣的映射方法,我們得到了高階非線性薛定諤方程新的精確解,它們是兩個不同的雅可比橢圓函數的線性組合。Exact jacobian periodic wave and solitary wave excitations for higher - order nonlinear schr dinger equation
高階非線性薛定諤方程的精確周期解和孤波解分享友人