soliton wave

1. New soliton wave solutions of the generalized Davey-Stewartson equations
   广义Davey-Stewartson方程的新孤波解
2. In this paper, this method is generalized to ( 2+ 1) dimensional case and the multiple soliton like solutions of the ( 2+ 1) dimensional dispersive long wave equations are obtained.
   并把这种方法推广到（＋）非线性演化方程，获得了（＋）耗散长波方程的类多孤波解。
3. Variable separation solution and soliton excitations of the ( 1+ 1)-dimensional generalised shallow water wave equation
   （1+1）维广义的浅水波方程的变量分离解和孤子激发模式
4. Parametric transform method derived soliton wave equation and soliton solution
   参量变换法导出孤波方程及孤子解
5. A basic nonlinear dynamical equation for soliton propagation in semiconductor-doped glass fibres is derived from the nonlinear wave equation using the slowly varying envelope approximation.
   由非线性波动方程出发，应用慢变色络近似条件，推导出光孤波在SDG光纤中传播的非线性动力学方程。
6. By constructing auxiliary functions and ordinary differential equations, we have obtained some new exact traveling wave solutions of the nonlinear coupled KdV equations which include soliton wave solutions and periodic solutions.
   利用构造辅助函数和辅助常微分方程组的方法，给出了非线性耦合KdV方程的某些新的精确行波解，其中包括孤波解和周期解。
7. In this paper, a detail process for constructing KP equation was given by lattice model, and a soliton solution of it was got by using progressive wave method.
   利用晶格模型给出KP方程建立的详细过程，然后用行波法给出它的一个孤子解。
8. By means of the improved double functions method, many kinds of exact travelling wave solutions for a class of nonlinear evolution equations are obtained, which contain soliton wave solutions and periodic solutions.
   使用改进的双函数法，获得了一类非线性发展方程组的多组精确行波解，其中包括孤波解和周期解。
9. Study on soliton wave solutions of nonlinear wave equation with a new method
   构造非线性波动方程孤波解的一种新方法
10. For the ( 2+ 1)-dimensional breaking soliton equation, by using the approach of dynamical system to travelling wave solutions, in different regions of a parameter space, all possible exact solutions are given.
    运用动力系统原理研究2+1维破切孤子方程的行波解，得到了参数空间不同区域上所有可能的精确解。
11. In this tutorial review, some fundamental concepts on solitary wave and optical soliton are introduced. The nonlinear wave equations of soliton transmission, the physical models of bright and dark solitons as well as the relevant experimental results are all shown here.
    本文较为系统地介绍了孤波与光学孤立子的一些基本概念、孤立波传播的非线性波方程、亮孤子和暗孤子的物理模型以及有关的实验结果。
12. In this pater, using parametric transform method direct derive soliton wave equation of loss optical fibers and elementary soliton solution.
    本文用参量变换法直接导出了有耗光纤的孤波方程及其基态孤子解。
13. The soliton perturbation makes actually the height, width and velocity of the soliton wave changed slowly on time and space.
    孤子微扰的实质是使孤立波的波形高度，波形宽度和波的传播速度随时间和空间发生缓慢的变化。
14. The bright, dark and grey soliton solutions for optical wave evolution equations are presented in photorefractive polymer under a steady-state condition. The polarization property of these different soliton states and the dependence of the width of these polymeric solitons on external bias field are discussed in detail.
    给出了稳态情况下光折变聚合物中光波演化方程的亮、暗及灰孤子解，并讨论了不同孤子态的偏振特性及孤子宽度与外加电场的关系。
15. Soliton wave is a travelling wave resulting from nonlinear interaction.
    孤子波（Solitonwave）是一类由于非线性作用引起的行波，它在运动过程中形状保持不变。
16. The numerical simulation results have confirmed the existence of this soliton like electromagnetic wave. After considering the finite aperture of Bessel beam and the high order dispersion, the diffraction free and dispersion free propagation can only be achieved in a finite distance.
    数值模拟的结果表明，由于超短脉冲贝塞尔光束的无衍射无色散传输距离受到高阶色散效应和贝塞尔光束空间受限两方面的限制，无衍射无色散传输只能在有限距离内近似实现。
17. In this paper, the nonlinear dynamics feature of soliton wave in protein molecular have been studied by means of the quantum theory.
    本文运用量子力学方法对蛋白质分子中孤波传播的非线性动力学特征进行了探讨。
18. Exact Soliton Solution of the Spin Chain in a Plane Wave Background and Quantum Phase Transition of the Dipolar Bosons in Optical Lattices
    自旋链在平面波背景下的孤子解和光格子中超冷原子的量子相变
19. The Quantum Analysis of Soliton Wave of Protein Molecular from Ionization Irradiation
    电离辐射对蛋白质分子作用的量子孤波分析
20. Envelope soliton of stress wave on wall of a fluid-filled circular tube
    充满流体的圆形管道上应力波包络孤子
21. It shows that x component of velocity, density and voltage of ion acoustic wave have soliton wave solutions, even though dispersion presents along the vertical direction, but the velocity components never present soliton wave structures along the other vertical directions.
    结果表明，离子声波沿轴方向的速度分量、密度和电位势，在垂直方向有色散的情况下，仍然有孤立波解出现，但其它2个垂直方向的速度分量不会出现孤波结构。
22. Based on the extended thought of the homogeneous balance method, another soliton solution and a solitary wave solution of the nonlinear transmission line equation were obtained.
    同时，对齐次平衡法的思想进行了扩展，并在此基础上得到非线性传输线方程的另1组孤立子解和1组具有奇异性的孤立波解。
23. It is concluded that the fission of the internal tides on the slope is one of the dominant generating mechanisms of internal soliton packets ( or wave train) on the shelf under real ocean conditions.
    这表明在实际海洋条件下，深海区内潮的分裂是陆架上海洋内孤立子波包（或波列）生成的主要机制之一。
24. Some new soliton wave solutions for ( 2+ 1)-dimensional Broer-Kaup equations
    高阶（2+1）维BroerKaup方程的孤波解
25. Some new multiple soliton solutions of high-dimensional nonlinear wave equations
    高维波动方程的一些新的多孤子解
26. Soliton is a pulse-shaped traveling wave with unchanged shape, amplitude and velocity during the transmission.
    孤子是一种在传播过程中形状、幅度和速度都维持不变的脉冲状行波。
27. Employing the reductive perturbation method ( RPT) the KdV equation with soliton solution is derived in the long wave approximate.
    在长波近似情况下，借助约化摄动法（RPT）得到具有孤子解的KdV方程。
28. Soliton, like particles, can travel over long-distances without attenuation and changes of wave shapes, which is the result from the balance of the interplay between dispersion and nonlinearity.
    孤立子能够既不发生衰减也不会改变波形地传播到较远的地方且具有类似粒子的特性，这主要是色散效应和非线性效应相互平衡的结果。
29. In nonlinear physical systems, soliton and rogue wave are well-known localized waves.
    在非线性物理系统中，孤子、怪波是两种常见的非线性局域波。
30. It is proved that the action of internal soliton on offshore structure can not be ignored by comparing the action of internal solitary wave and surface wave on the Spar platform.
    对比了内孤立波和表面波对Spar平台的作用，证实了内孤立波对海上结构物的作用是不可忽略的。

noun

1. (physics) a quantum of energy or quasiparticle that can be propagated as a traveling wave in nonlinear systems and is neither preceded nor followed by another such disturbance
   1. soliton waves can travel long distances with little loss of energy or structure

   Synonym:    solitonsolitary wave