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solitary waves
相关语句
  孤立波
     Solitary waves of the equation with higher order nonlinearity on u_t+a(1+bu~3)u~3u_x+δu_(xxx)=0
     高阶非线性方程u_t+a(1+bu~3)u~3u_x+δu_(xxx)=0的孤立波
短句来源
     Existence of Solitary Waves in Singular Perturbed MKdV-KS Equation
     奇异扰动MKdV-KS方程孤立波解的存在性
短句来源
     The main result in this chapter: Theorem 4.1 The solitary waves (4.1.3) are orbitally stable.
     本章的主要结果:定理4 .1孤立波族(4.1.3)是轨道稳定的。
短句来源
     Orbital Stability of Solitary Waves to Benjamin-Ono Equation
     Benjamin-Ono方程孤立波解的轨道稳定性(英文)
短句来源
     EXPLICIT EXACT SOLUTIONS OF SOLITARY WAVES IN THE GENERALIZED NONLINEAR SCHRDINGER EQUATION
     一般非线性Schrdinger方程的显式孤立波
短句来源
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  孤波
     4)strongly coupled nonlinear parametric solitary waves;
     4) 强耦合非线性参数孤波
短句来源
     4.strongly coupled nonlinear parametric solitary waves;
     4强耦合非线性参数孤波
短句来源
     NLS solitary waves in a nonlinear elastic rod
     非线性弹性杆中的NLS型孤波
短句来源
     The NLS solitary waves and nonlinear Schrdinger equation are obtained.
     从理论上给出了在非线性弹性杆中存在的NLS型孤波以及此孤波所满足的非线性Schrdinger方程. 当非线性常数n= 2 时, 存在KdV孤立子;
短句来源
     EVOLUTION OF MKdV STRAIN SOLITARY WAVES IN A NON-LINEAR ELASTIC ROD
     非线性弹性杆中MKdV应变孤波的演变
短句来源
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  “solitary waves”译为未确定词的双语例句
     The abstract results of Grillakis are used directly and the orbital stability of solitary waves of compound KDVtype equation with nonlinear terms of any order is examined. ut+aupux+bu2pux+δuxxx=0(a,b,δ,p=C,p>0).
     应用Grillakis提出的轨道稳定性理论,研究了广义组合KDV方程ut+aupux+bu2pux+δuxxx=0(a,b,δ,p=C,p>0)的轨道稳定性.
短句来源
     On Numerical Calculation of Two Solitary Waves Solutions with RLW Equation
     RLW方程双孤立子碰撞的数值计算
短句来源
     The Solitary Waves for a Two-dimensional Boussinesq Water Wave System
     二维Boussinesq水波系统的孤立子波解
短句来源
     Numerical Study on the Evolution Process of Internal Solitary Waves in Two-layer Fluids
     两层流体界面孤立子内波演变过程数值研究
短句来源
     Strongly oblique Interactions between Internal Solitary Waves with the Same Mode
     相同模式内弧立波的强斜相互作用
短句来源
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  solitary waves
This paper considers the generalized KdV equation with or without natural boundary conditions and provides a parameter region for solitons and solitary waves, and also modifies a result of Zabusky's.
      
By considering higher order transverse disturbance to planar solitary waves, we study a Kadomtsev-Petviashvili (KP) equation and find some interesting results.
      
Solitary waves in a thin layer of viscous liquid which is running down a vertical surface under the action of gravity are investigated.
      
On decreasing the wave number, the periodic waves go over into a succession of solitary waves.
      
Discontinuities of the variables that characterize the propagation of solitary waves in a fluid layer
      
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In this paper, the solitary waves in an arbitrary cross-section channel which gra dually change in the streamwise have been studied. The KdV equation with slowly varying coefficients is derived. Then, we produced the first term of its asymptotic solution, travel speed of solitary waves and the relation between the amplitude of wave and the geometric size of channel. The results have been applied to the cases of triangular and rectangular channels. For the channel with varying depths and breadths...

In this paper, the solitary waves in an arbitrary cross-section channel which gra dually change in the streamwise have been studied. The KdV equation with slowly varying coefficients is derived. Then, we produced the first term of its asymptotic solution, travel speed of solitary waves and the relation between the amplitude of wave and the geometric size of channel. The results have been applied to the cases of triangular and rectangular channels. For the channel with varying depths and breadths they are fairly consistent with those of Johnson, Shuto and Mile.

本文研究了在流动方向可以有缓慢变化的任意截面渠道中的孤立波,导出了缓变系数KdV方程,并求出了此方程的首项近似解,导出了孤立波的速度的表示式,以及孤立波的波幅与渠道几何尺寸的关系,并把它们应用于三角形渠道、矩形渠道,对于变深度、变宽度矩形渠道的情况,本文的结果与Johnson、Shuto及Mile等人所得的结果一致.

In this paper we have proven degree uniqueness of solutions of Cauchy problems for the nonlinear equation and nonlinear equation system, in which F(u)and A(t)are symmetric functional matrixes. The solution u(oru) here means 2m+1 degree continuous differentiable bounded functions, and u (or u)and its derivatives, in which |α|≤2m+1, vanish, as |X|→∞. We have established the conditions of existence of solitary wave solutions for equation and have given a technigue of looking for solitary wave solutions...

In this paper we have proven degree uniqueness of solutions of Cauchy problems for the nonlinear equation and nonlinear equation system, in which F(u)and A(t)are symmetric functional matrixes. The solution u(oru) here means 2m+1 degree continuous differentiable bounded functions, and u (or u)and its derivatives, in which |α|≤2m+1, vanish, as |X|→∞. We have established the conditions of existence of solitary wave solutions for equation and have given a technigue of looking for solitary wave solutions for the same equation as well.

本文证明了非线性方程及非线性方程组(其中F(u)及A(t)均为函数对称方阵)Cauchy问题解的唯一性,这里的解μ(或u)是指2m+1次连续可微的有界函数,且当|X|→∞时,μ(或u)及其所有|α|≤2m+1阶的导数趋于零,本文还给出了方程存在孤波解的条件以及求孤波解的方法。

We have proved the stability of solutions of initial value problem for Burgers' type equation in L2 Sense; have given the conditions of existence of kink solitary wave solutions and a technique of looking for kink solitary wave solutions for Burgers' type equation. And we point out there are no bell solitary wave solutions for Burgers' type equation.

本文证明Burgers型方程初值问题的解在L_2意义上的稳定性、唯一性;给出该方程存在扭状孤波解的条件及求扭状孤波解的方法。并指出Burgers型方程不存在钟状孤波解。

 
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