A simplified model, the solitary wave model, for the muzzle fireball is proposed.
对膛口火球提出一个简化模型，孤波模型。
The phenomenon of solitary wave generated by the ship in shallow water can be observed.
有限水深的条件下，在临界速度附近可以观察到浅水船行波特有的孤独波现象。
And the envelope solitary wave solutions and envelope sinusoidal wave solutions have been obtained.
得到了该方程的包络孤立波解和包络正弦波解。
The results show that the present approach is valid for modeling the propagation of a solitary wave.
结果表明，本模型对计算孤立波的传播是有效的。
Solitary wave, which is a special coherent structure, describes a kind of stable nature wave phenomena.
孤波，作为一种特殊的相干结构，反映了一类稳定的自然波动现象。
Solitary wave, which is a special coherent structures, describes a kind of stable nature wave phenomena.
孤立波，作为一种特殊的相干结构，反映了一类稳定的自然波动现象。
These conclusions are useful to optimise the design of the solitary wave transmission system near zero-dispersion.
这些结论对零色散孤立波传输系统的优化设计是很有用的。
By the orbit in the phase portraits, different kinds of solitary wave, kink wave and periodic wave solutions are obtained.
通过相图中的各种轨道，获得了孤立波，扭子波和周期波的精确解。
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。
The solitary wave theory of the weakly nonlinear, non-axisymmetric disturbances is used to model the spiral vortex breakdown.
本文使用弱非线性、非轴对称扰功波的孤立波模型模拟螺旋型涡破裂。
The free surface flow of a solitary wave overtopping an erect breakwater was simulated using turbulent model and the VOF method.
应用湍流数学模型和流体体积法模拟孤立波翻越防波堤的流动和自由表面变化。
The reflection coefficient of a solitary wave decreases as the effective porosity increases for a given permeability coefficient.
当渗透系数一定时，孤立波的反射系数随有效孔隙率的增大而减小；
In chapter 6, the orbital stability and linear stability of the solitary wave solutions of shallow water wave systems is discussed.
第六章讨论了浅水波系统孤立波的稳定性问题。
In this paper, three classes of coupled nonlinear equations are solved respectively, and we obtain solitary wave solution of systems.
本文分别对三类非线性耦合方程组求解，得到了系统的孤波解。
Under the weak beam conditions, there are four ion acoustic wave modes, of which, two correspond to the slow and fast solitary waves.
在弱束流的条件下，四种离子声波模式中有两种分别对应慢孤波和快孤波。
The wave from vessel's launch causes crack of mooring chain for fixing pontoon and is considered to be solitary wave through analyses.
针对大船下水激起的波浪造成固定趸船锚链断裂的问题，分析了大船下水激起的波态是孤立波。用近似方法确定了孤立波的波高。
Under the condition of, solitary wave solution is obtained to a type of vortex, which is then compared with the one to the general vortex.
在的条件下，求出了某一类低涡的孤立波解，然后将它同一般低涡的孤立波解进行比较。
If the effective porosity is given, the reflection coefficient of a solitary wave decreases also as the permeability coefficient increases.
当有效孔隙率一定时，反射系数则随渗透系数的增大而减小。
Thirdly, the two-dimensional numerical model of solitary wave and regular wave slamming to leveling board is built on the basis of SPH method.
第三，建立了基于SPH方法的孤立波和规则波与水平结构物相互作用的二维数值模型。
When a sound wave strikes the spheres at one end of the acoustic lens, the sound gets converted into a type of shock wave known as a solitary wave.
当把声波打击在声透镜一端的球体上时，声波就会转换成称为孤波的某种类型的冲击波。
The formally variable separation approach is one of the best method to looking for the exact solitary wave solutions of a nonlinear physical model.
形式变量分离方法是寻找非线性物理方程孤子解的一种行之有效的方法。
Modeling the propagation and end wall reflection of a fully nonlinear solitary wave with the boundary integral equation method is reported in the paper.
报道了应用边界积分方法模拟完全非线性孤立波的传播与直墙反射，给出了波形演变过程。
It should be noted that this work is the first step of wave-body coupling between internal solitary wave and submerged body in numerical simulation field.
应当指出，本文的工作是在内孤立波与水下潜体波体耦合的数值模拟领域所迈出的第一步。
The two-dimensional Navier-Stokes equations are solved by the MAC method to study a solitary wave propagation on a shelf with a terrance risen up suddenly.
为了研究孤立波在带有陡升台地的陆架上的传播，用MAC方法求解了二维纳维尔-斯托克斯方程。
We successfully derived some exact solitary wave solutions of the nonlinear approximate equations with long waves in shallow water by using the hyperbola function method.
用双曲函数法，成功得到了非线性浅水长波近似方程组的精确孤立波解。
The exact and explicit solutions of these equations are obtained by using the travelling wave method. These exact solutions are solitary wave solutions of a rational type.
用行波方法得到了这些方程的显式精确解，即有理分式型孤立波解。
Internal solitary waves are a kind of special internal waves, which could bring enormous energy and propagate long distance in the ocean with its wave form basically unchanged.
海洋内孤立波是一种携带巨大能量的特殊内波，它能够在海洋中长距离传播而保持波形基本不变。
It is explained by the capillary-gravity wave theory that the crests are sharpened and the troughs are plattened in the transverse harmonic of the non-propagating solitary waves.
用毛细重力波理论解释了非传播孤立波横向谐振中波峰尖、波谷平的原因。
Based on the characteristics of nonlinear negative index materials, we investigate the formation conditions and transmission characteristics of the chirped dark solitary wave in detail.
结合负折射介质的特性，详细研究了该啁啾暗孤波的形成条件和传输特性。
In this paper, the effect of dust size distribution for the dust acoustic solitary wave (DASW) in the cold dusty plasma, the hot dusty plasma, the magnetized dusty plasmas and the dusty pl.
本文运用约化摄动法分别研究了冷尘埃等离子体、热尘埃等离子体、磁化尘埃等离子体和尘埃等离子体晶体中的尘埃声孤波现象，着重考虑尘埃颗粒大小分布对尘埃声波的影响。
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