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- In this paper,we are concerned with the blow-up of solutions to a class of quasilinear wave equations. 借助于一些偏微分方程的标准技巧对方程的非线性项进行估计,通过凸性引理得到了在三种不同初始能量下解的爆破。
- Numerical simulation from wave equations is a valid means of studying seismic wave propagation. 波动方程数值模拟是研究地震波传播特征的有效手段。
- In virtue of Eddington coordinate system, the wave equations are well solved, and it shows that the AdS event horizons have Hawking radiations. ? 通过引入Edding ton Finkelstein坐标;解波动方程所获得的热谱;证实了AdS黑洞具有Hawking辐射.
- An improved finite difference method in solving vector wave equations based on H fields for full-vectorial analysis of optical waveguides is described. 摘要提出一种改进的有限差分法，用以求解全矢量磁场波方程，分析光波导承载的全矢量本征模。
- In this paper, the moving least squares (MLS) fitting criterion commonly used in solid mechanics is discussed for solving seismic wave equations. 摘要本文首次将固体力学领域中的滑动最小二乘拟合法用于求解地震波波动方程。
- Under appropriate conditions,the approximate solutions for two nonlinear wave equations are obtained simply and conveniently. 在适当的条件下,较简捷地得出了这两类非线性波方程的近似解。
- Light propagation is described by paraxial wave equations and solved by a phase-screen method combined with the FFT technique. 光在流场中的传输采用傍轴近似光波传输方程描述，用相屏法和快速傅里叶变换(FFT)技术求解。
- A finite difference scheme based on semi-vectorial wave equations is used to study the dispersion properties of photonic crystal fibers (PCF). 采用基于半矢量波动方程的有限差分法研究了光子晶体光纤(PCF)的色散特性。
- Expansion method about the Jacobi elliptic function and its applications to nonlinear wave equations [J].Acta Phys Sinica,2001, 50 (11): 2068-2073. Jacobi椭圆函数展开法及其在求解非线性波动方程中的应用[J].;物理学报;2001;50(11):2068-2073
- The paper also gives the prospect of wave equation migration. 对波动方程偏移成像发展趋势进行展望.
- It is pointed out that the WKB method can be applied to a wider kind of partial differential equations. The method is applied to linearized shallow water wave equations. 本文首先指出WKB方法可适用于更广泛的一类方程,并把它应用于线性化浅水波方程。
- By applying a mathematical transform to the coupling control equations about the phonon field and phason field, two standard wave equations and four speeds of wave are founded. 考虑一维准晶体制备的杆的纵向波动问题,对声子场和相位子场相耦合的控制方程进行数学变换,得出2个标准的波动方程和4种波速。
- The bifurcation of travelling wave solutions for the generalized water wave equations are studied by using the bifurcation theory of planar dynamical systems. 摘要应用动力系统分支理论，研究广义水波方程组行波解的分支。
- Theory of fiber optical parametric amplifiers (FOPAs) is introduced and the expression for the gain of FOPAs is deduced from the basic coupled wave equations. 摘要介绍了光纤光学参量放大器的理论，基于耦合波方程推导出光纤光学参量放大器的增益表达式。
- A detail study was made on the phase conjugate process in the near degenerate four wave mixing in a nonlinear medium based on solving of the coupled wave equations. 从求解耦合波方程出发，详细研究了非线性光学介质中由近简并四波混频所产生的相位共轭过程。
- In this paper, the pseudo-spectral method by the wave equations of inhomogeneous elastic isotropic media is developed and the stable conditions for it are given. 从非均匀弹性各向同性介质中的波动方程出发，研究发展了伪谱法数值模拟方法，并给出了稳定性条件。
- The long wave equations were derived from Eular equations by timeaverage over short waves period. 计算模型的波浪控制方程是由欧拉方程在短波周期上平均而得到的。
- Abstract: The properties of solitary wave solution to multidimensional regulari zed long wave equations is discussed and one of its solitary wave solution is ob tained by direct integral method. 文摘:本文讨论了高维正则长波方程的孤立波解的性态，同时运用直接积分法获得了它的一个孤立波解。
- Thus what is now called the wave equation in one spatial dimension appears for the first time. 这样一来现在称为一维的波动方程就第一次出现了。
- In this paper the local existence of solutions for a class of strongly damped wave equations is considered, and the global existence and blow-up of solutions based on the potential well theory is studied. 摘要讨论一类强阻尼波方程解的局部存在性，并利用势井理论研究解的整体存在性和爆破性。
