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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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, we studied oscillation of the solutions of neutral hyperbolic partial differential equations with nonlinear diffusion coefficient and damped terms.
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, we studied oscillation of the solutions of neutral hyperbolic partial differential equations with nonlinear diffusion coefficient and damped terms.
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