液晶态生物膜中可以存在孤立波。
The solitary waves can exist in liquid crystal-biological membranes.
得到了该方程的包络孤立波解和包络正弦波解。
And the envelope solitary wave solutions and envelope sinusoidal wave solutions have been obtained.
证明了耗散孤立波方程的惯性分形集的存在性。
The existence of the inertial fractional set is proved for the dissipative soliton equations.
结果表明，本模型对计算孤立波的传播是有效的。
The results show that the present approach is valid for modeling the propagation of a solitary wave.
理论结果表明，在特殊的孤立波振幅下，偏振色散为零。
Theoretical calculations show that the polarization dispersion reaches zero at a specific amplitude of the soliton.
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。
These conclusions are useful to optimise the design of the solitary wave transmission system near zero-dispersion.
结果表明，本模型对计算孤立波的传播与直墙反射是有效的。
The results show that the model is efficient for simulating high amplitude solitary waves in propagation and their run ups at a vertical wall.
等的抽象理论，通过谱分析，证明了该孤立波解是轨道稳定的。
By using the abstract results of M. Grillakis et al and careful spectral analysis, we prove that the stability of the solitary waves is orbital.
此外，利用孤立波的能量密度分布解释了生物膜的某些功能特性。
Furthermore, using the distribution of energy-density of solitary waves, some functional properties of biological membranes are explained.
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；
The reflection coefficient of a solitary wave decreases as the effective porosity increases for a given permeability coefficient.
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 the orbit in the phase portraits, different kinds of solitary wave, kink wave and periodic wave solutions are obtained.
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。
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.
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。
Solitary wave, which is a special coherent structures, describes a kind of stable nature wave phenomena.
本章的主要结果：定理4 .1孤立波族（4.1.3）是轨道稳定的。
The main result in this chapter: Theorem 4.1 The solitary waves (4.1.3) are orbitally stable.
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。
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.
本文应用渐近匹配方法探讨了孤立波遇到二维柱体时的透射与反射问题。
The matched-asymptotic expansion method is adopted to solve the problem of transmission and reflection of a planar soliton on a two-dimensional floating body.
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。
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.
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 free surface flow of a solitary wave overtopping an erect breakwater was simulated using turbulent model and the VOF method.
研究结果表明，在一定条件下，非线性弹性地基内预应力梁中存在包络孤立波。
It follows that under certain conditions the existence of the envelope soliton in the prestressed beam in nonlinear elastic foundation is possible.
本文对生物膜中一维斜型波和一维弯曲波的孤立波的传播形式作了较详细的讨论。
In this paper, the propagative form of one-dimensional solitary waves in splay-mode and bend-mode are discussed in detail.
用这种方法得到的新的类周期解在极限条件下可以退化为类孤立波解或类冲击波解。
And new periodic solutions obtained by this method can be reduced to the soliton-typed solutions under the limited condition.
本文采用理论分析和符号运算相结合的方法研究有限深分层流体有限振幅内孤立波。
The finite amplitude solitary waves in stratified fluids of finite depth, in which the density varies with depth in lower layer but keeps uniform in upper layer, are investigated.
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。
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.
另者，孤立波的边界层速度于浅化过程中正向与负向的极值速度有逐渐增加的趋势产生。
The maximum value of positive and negative horizontal velocity increases gradually with the decrease of the water depth in the shoaling process.
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。
Thirdly, the two-dimensional numerical model of solitary wave and regular wave slamming to leveling board is built on the basis of SPH method.
在世界上许多海域中尤其是在陆架、海峡等地形变化剧烈的海区观测到了内孤立波的存在。
Internal solitary waves can be observed in many sea areas around the world, especially in domains with rapidly changing topography, such as near continental shelves and straits.
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。
Modeling the propagation and end wall reflection of a fully nonlinear solitary wave with the boundary integral equation method is reported in the paper.
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。
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.
把表面张力的能量当作高阶小量、导出了非传播孤立波的基本方程，得到的解与实验结果相符。
The contradictory between experiments and theory about the effect of the surface tension on the non-propagating soliton was discussed in this article.
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。
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.
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