This paper discusses the boundary value problem of the nonlinear wave equation with damping.
本文讨论有阻尼的非线性波方程的边值问题。
The initial boundary value problem of the nonlinear wave equation with the weak damping term and a source term was studied.
研究了含弱阻尼和源项的非线性波方程初边值问题。
This paper studies nonlinear wave equation with dispersion items, reaching an approximate Solution in the method of Parameter differentiation.
对带色散项非线性控制方程进行了研究，用“参数微分法”，得到其近似解。
This paper Studies nonlinear wave equation with dissipation items, reaching an approximate solution in the method of parameter differentiation.
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。
The solution of the nonlinear wave equation describing propagation of a femtosecond laser pulse with duration of several optical oscillation periods in a nonlinear fiber is presented.
给出了描述具有几个光振荡周期的飞秒激光脉冲在非线性光纤中传输方程的解。
In this paper, the symmetries and Lie algebra of a coupled nonlinear wave equation were discussed. One-parameter transformation groups of this equation were obtained by using the symmetries.
主要考虑非线性波方程组的一些简单对称及其构成的李代数，并利用所得对称给出该方程组的一些单参数变换群。
The steady solution and its stability of Nonlinear Schrdinger Equation (NLSE) are studied by means of traveling wave transformation and bifurcation theory.
用行波变换方法和分叉理论研究里非线性薛定谔方程的定常解和定常解的稳定性。
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。
We consider the initial value problems of forced quasilinear wave equation with nonlinear dissipation.
研究具非线性耗散项的强迫拟线性波动方程的初值问题。
This paper studies the existence of solution for a semilinear wave equation under the nonlinear term and initial value satisfying certain conditions.
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。
In chapter two, the (3 + 1) dimensional weakly nonlinear ion acoustic wave at higher order transverse perturbations in plasma was discussed and described by the Kadomtsev-Petviashvili (KP) equation.
论文第二章研究了等离子体中横向扰动下的(3 +1)维弱非线性离子声波，得到了描述离子声孤波的(3 + 1)维kp方程。
By introducing double parameter transformation, the explicit solitary wave solutions for a nonlinear equation are obtained.
引入双参数变换求出了一个非线性方程的显示孤波解，方法简便，便于应用。
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。
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.
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。
The nonlinear Schrdinger equation leads to a second order nonlinear difference equation, and we obtain transmission spectrum of wave by iterating the difference equation.
把非线性薛定谔方程转化成二阶差分方程，通过迭代此差分方程得到透射谱。
Making use of the explicit nonlinear formulation derived in this paper and the mild slope equation with weak non-linearity calculations are conducted for wave transformation in the compound shoals.
本文最后用该显式结合含弱非线性效应的缓坡方程，对复式浅滩地形上的波浪折射绕射进行了计算。
The nonlinear drift-wave equation driven by a sinusoidal wave is discussed in a coordinate system moving in the driving phase speed.
在以驱动波相速度运动的坐标系中，用微扰法讨论。在正弦波驱动下的非线性漂移波的分波方程。
Pseudospectral method is used to solve the driven -damped 1-d nonlinear drift -wave equation. Some problems in the computation are discussed.
介绍了用赝谱方法数值求解非线性漂移波方程，讨论了计算中遇到的一些问题。
Pseudospectral method is used to solve the driven -damped 1-d nonlinear drift -wave equation. Some problems in the computation are discussed.
介绍了用赝谱方法数值求解非线性漂移波方程，讨论了计算中遇到的一些问题。
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