这种方法也同样适用于求解其它非线性波动方程。
It indicates that the method is also suitable for solving other nonlinear evolution equations.
格点系统与非线性波动方程是两类很重要的无穷维系统。
Lattice systems and nonlinear wave equations are two kinds of very important infinite dimensional dynamical systems.
结果表明该方法简单有效,并且可以应用到其它的非线性波动方程。
The results show the method is simple and effective and can be applied to other nonlinear wave equations.
二维空间中一类具临界幂的耦合非线性波动系统的爆破解 李晓光;
We show the existence of blow-up solutions for a coupled nonlinear wave system with critical power in dimension two.
研究一类带非线性阻尼项和源项的高阶非线性波动方程的初边值问题。
In this paper we study the initial-boundary value problem for some nonlinear higher-order wave equation with nonlinear damping and source terms.
双解可能对应于量子理论中的波-粒二象性,联系于非线性波动力学的双重解。
The double solutions correspond possibly to the wave-particle duality in quantum theory, and connect the double solution theory of the nonlinear wave mechanics.
研究具有声学边界条件的非线性波动方程初边值问题,得到整体强解的存在惟一性。
The existence and uniqueness of global solution for the nonlinear wave equations with acoustic boundary conditions are obtained.
对一类带耗散项非线性波动方程进行了研究,用“参数微分法”,得到其解析近似解。
This paper Studies nonlinear wave equation with dissipation items, reaching an approximate solution in the method of parameter differentiation.
文中电力系统被看作一个在小幅度、广谱的随机扰动下不断作非线性波动的动态系统。
The power system is considered as a dynamic system that performs continuous non linear variation under small amplitude, wide spectrum disturbance.
特别地,对紧支集小初值的情况,给出了经典解的生命区间及其在非线性波动方程中的应用。
In particular, for the case of small initial data with compact support, the author gives the life-span of classical solutions and its application to nonlinear wave equations.
在大气动力学领域,主要介绍了非绝热波和大气低频动力学、湍流的频散效应和大气非线性波动等方向的研究进展。
First, in the field of atmospheric dynamics the developments in dynamics of diabatic waves and low frequency waves, the dispersive effects of turbulence and nonlinear atmospheric waves are reviewed.
数值算例表明,所给出的人工边界与波动输入方法具有良好的精度,可以方便地应用于成层地基非线性波动问题的研究。
Numerical examples prove good accuracy of the artificial boundary conditions and wave motion input method, which can be easily used in study of problems of nonlinear wave motion in layered soils.
应用位势井族方法,研究了一类非线性波动方程的不变集合与解的真空隔离,证明了当初始能量小于位势井深度时,此问题存在不变集合与解的真空隔离现象。
By using potential well family method, we study the invariant sets and vacuum isolating behaviour of solutions to a class of nonlinear wave equations.
本文在梁方程的基础上研究了一类具有非线性阻尼项和力源项的四阶波动方程的初边值问题。
In this paper, the initial-boundary value problem of a kind of nonlinear fourth-order wave equations with damping and source terms is studied on the base of Beam equation.
研究具非线性耗散项的强迫拟线性波动方程的初值问题。
We consider the initial value problems of forced quasilinear wave equation with nonlinear dissipation.
本文研究了半线性波动方程在非线性项和初值满足一定条件下解的存在性。
This paper studies the existence of solution for a semilinear wave equation under the nonlinear term and initial value satisfying certain conditions.
考虑了有界区域上一类非线性退化波动方程的初边值问题。
We consider the initial boundary value problem for a class of nonlinear degenerate wave equations in a bounded domain.
所得结果定量地阐明了波剖面的非线性上下不对称性对波动场统计特征的影响。
These results quantitatively expound the effect of the nonlinear up-down asymmetry of wave profile on the statistical properties of the wave field.
泉水系统属非线性动力系统,泉水月流量序列具有季节波动的特点。
The spring water system is a nonlinear dynamic system and its monthly discharge is characterized by seasonal fluctuations.
利用菲涅耳基尔霍夫衍射积分和非线性近轴波动方程,在远场近似及光学薄近似条件下,得出了位相调制产生“热像”出现的位置及强度满足的解析关系。
According to the Fresnel-Kirchhoff diffraction integral and nonlinear paraxial wave equation, we derive the functional relationship of the intensity of hot image and its location.
用微分方程定性理论结合数值模拟方法研究了一类非线性四阶波动方程的纽结波。
The qualitative theory of ordinary differential equations and numerical simulation method are employed to investigate the kink waves of a nonlinear quartic equation.
确定性混沌理论能够深刻揭示气液两相流压力波动的非线性特征。
The nonlinear characteristics of pressure fluctuation for two-phase flow in vertical upward section of U-type tube were investigated by means of deterministic chaotic theory.
针对压力传感器输出特性受温度变化和电压波动影响的问题,提出了应用支持向量机对压力传感器输出特性进行非线性补偿的校正模型。
In view of characteristics of pressure sensor affected by temperature changes and voltage fluctuation, a correction model of pressure sensor is presented based on Support Vector Machine.
非线性理论在刻画金融时间序列的波动方面有着非常重要的作用。
The non-linear theory has been playing an important role in describing volatility of financial time series.
针对计入横向惯性效应后的非线性弹性杆纵向波动方程进行了分析。
The longitudinal oscillation of a nonlinear elastic rod with lateral inertia were studied.
此模型的漂移项为非线性形式,具有显著的均值回复效应,且利率波动对利率水平极为敏感。
This model has nonlinear drift, has significant mean-reverting effect, and the volatility is highly sensitive to interest level.
SVC投入运行后,对非线性负荷产生的谐波电流,电压波动及闪变等引起供电电能质量的问题起到了很好的治理效果。
After SVC was put into operation, power quality problem caused by harmonic current, voltage fluctuation and flicker has been solved.
按波动理论,建立土—结构—流体相互作用体系的非线性运动方程组。
Based on the wave theory, a set of differential equations of nonlinear motion due to the seismic sh wave is established.
电气化铁路是电力系统中的特殊用户,其负荷具有随机波动性、非线性和不对称性。
The electrical railway is a special user of power system; the load has many disadvantages like acute fluctuation, nonlinear and asymmetry.
电气化铁路是电力系统中的特殊用户,其负荷具有随机波动性、非线性和不对称性。
The electrical railway is a special user of power system; the load has many disadvantages like acute fluctuation, nonlinear and asymmetry.
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