solitary wave

1. Solitary Wave Solutions for Modified Kawahara Equation by ( 1/ G)-expansion Method
   用（1/G）-展开法求修正Kawahara方程的孤立波解
2. As taking account of high order expanded terms, there exists no solitary wave in beam propagation by numerical analysis without or with absorption, and the beams are controlled by input intensity.
   当考虑高阶展开项时，通过数值分析发现，无论介质是否存在吸收，光束传输不存在“孤波”形式，而是在注入强度的控制之下。
3. Studies on Transmission of Chirped Combined Solitary Wave in Optical Fiber Amplifier
   光纤放大器中啁啾组合孤波传输特性的研究
4. 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。
5. The equation ′ s bell solitary wave solution worked out by parameter hypothesis;
   用参数假设法求出了该方程的钟状孤波解；
6. Internal Solitary Wave Retrieval Model from Sun Glint of Optical Remote Sensing Images
   光学遥感影像中耀斑区内孤立波信息提取模型
7. New exact solitary wave solutions for nonlinear wave equation with fifth-order strong nonlinear term constructed by hyperbolic function type of auxiliary equation;
   利用同解变型法并结合一个高阶辅助方程的解，成功地取得了该方程的一些新的精确行波解。
8. Research for existence of solitary wave in a 1-D transient temperature field in bore
   膛口一维瞬态温度场存在孤波的探讨
9. Numerical simulation of run-up of a solitary wave on a vertical wall and pressure distribution on the wall
   孤立波入射垂直壁的数值模拟及壁面波浪载荷分析
10. Chirped Combined Solitary wave Solutions of the Complex Ginzburg-Landau Equation with Variable Coefficients
    复变系数Ginzburg-Landau方程的啁啾组合孤波解
11. Numerical Study of the Interaction between a Solitary Wave and a Submerged Step Obstacle
    孤立波与潜水台阶相互作用的数值研究
12. Bifurcation of Solitary Wave and Periodic Wave Solutions for BBM Equation;
    BBM方程孤立波和周期波解的分支（英文）
13. Under various parameter conditions, all exact explicit formulas of solitary wave solutions and kink ( anti-kink) wave solutions and uncountable infinity many periodic wave solutions are listed.
    在固定的参数条件下给出广义水波方程组的孤立波、扭结（反扭结）波解的精确表达式，并证明该方程组存在不可数无穷多个周期波解。
14. The reflected wave on the concave step can evolve into a single solitary wave in certain stratified situations, which differ from the oscillating decay tail in the single layer fluid system.
    此外，下台阶反射波也可发展为单支孤立波，它区别于单层流体中反射波仅为衰减的振荡波列。
15. Solitary wave solutions to a one-dimensional nonlinear equation of wave propagation in a functionally graded beam
    梯度功能梁中一维非线性波的孤波解
16. With the aid of Sub-ODE as well as its exact solutions and according to the homogeneous balance principle, the envelope solitary wave solutions and envelop.
    齐次平衡法及改进方法在非线性演化方程中有广泛的应用，如推导方程的非线性变换、求精确解以及解决边值问题等。
17. These solutions may be reduced to the envelope solitary wave solutions under some conditions.
    由这种方法得到的包络周期解在一定条件下可以退化为包络冲击波解或包络孤立波解。
18. 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。
19. Solving solitary wave solutions of nonlinear evolution equations with the homotopy analysis method;
    利用同伦分析方法，得到了该模型解的近似表达式。
20. 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。
21. Then ten new real exact solitary wave solutions for then-dimension nonlinear Chaffe-Infante equation are obtained by using these formulas and a direct supposal method.
    首先，利用直接假设法，给出了一类二阶常系数非线性微分方程的一组实的显式精确解。
22. In this paper new exact solitary wave solutions of some nonlinear evolution equations are constructed by replacing the hyperbola function with the combinations of the exponential functions.
    用假设法把双曲正切函数法中的双曲正切函数替换成由指数函数组合而成的复合函数，并构造了非线性发展方程的精确孤立波解。
23. The results show that for different perturbations, the propagation of the combined solitary wave has a similar stability trend for a certain initial pulse.
    结果表明一定的精确脉冲在不同的扰动下有类似的稳定趋势。
24. Under the nonlinear approximation solitary wave troughs and solitary wave ridges are formed.
    在非线性近似下，可形成孤立波槽和孤立波脊。
25. At last the solitary wave is also simulated.
    同时，对孤立波进行了模拟。
26. 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。
27. The numerical results show the existance of the solitary wave's solution.
    数值结果表明了孤立波解的存在。
28. In this paper, the bifurcations of solitary wave and kink waves for Whitham-Broer-Kaup equations is studied by using the bifurcation theory of planar dynamical systems. The existence of solitary waves and kink waves are proved.
    在此文中，通过使用平面动力系统的分支理论来研究Whitham-Broer-Kaup方程的孤立波和扭子波分支，证明了孤立波和扭波的存在性。
29. In the limit case, solitary wave solutions and trigonometric function solutions are obtained.
    在极限情形，也得到了孤波解和三角函数解。
30. The propagation of Bessel solitary wave in strongly nonlocal nonlinear media with distributed parameters is researched.
    研究管理系统强非局域非线性介质中高维贝塞尔孤立波的传播。

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:    solitonsoliton wave