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solitary
相关语句
  孤立
    Solitary Waves at the interface of a Two-Layer Fluid
    两层流体界面上的孤立
短句来源
    Properties of Solitary Wave Solutions for KdV-Burgers Equation
    KdV-Burgers方程的孤立波解的性质
短句来源
    Exact solution to solitary wave equations of light interacting with two-level atomic systems
    光与二能级系统相互作用孤立波方程的精确解
短句来源
    The Generalized Boussinesq Equations and Obliquely Interacting Solitary Waves in a Stratified Fluid
    分层流体中推广的Boussinesq方程和斜相互作用的孤立
短句来源
    On Discontinuous Period Solution and Discontinuous Solitary Wave of Two-Dimension Shallow Water Equation
    二维浅水波方程的间断周期解和间断孤立波解讨论
短句来源
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    Several Kinds of Nonlinear Evolution Equations and Solitary Wave Solutions and Shock Wave Solutions in Elastic Rod Waveguides
    弹性杆波导中几类非线性演化方程及其波解和冲击波解
短句来源
    Uniqueness of Solutions of Cauchy Problems for a Class of Nonlinear Partial Differential Equation(System) and Solitary wave Solutions
    一类非线性偏微分方程(组)Gauchy问题解的唯一性及波解
短句来源
    Solitary Waves in the Phenomena of Optical Filamentation
    光纤维化现象中的
短句来源
    PROPERTY OF SOLITARY WAVE SOLUTIONS OF SOME NONLINEAR DISPERSION EQUATION
    一个非线性色散方程波解的性质
短句来源
    SOLITARY WAVES IN CHEMIALLY REACTING SYSTEM
    化学反应体系中的
短句来源
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  “solitary”译为未确定词的双语例句
    SOLITARY SOLUTION IN A MODIFIED HUBBARD CHAIN WITH FINITE LENGTH
    有限长Hubbard链中的孤子解
短句来源
    THE SOLITARY SOLUTIONS TO SINE-GORDON EQUATION
    近似Sine-Gordon方程的孤子解
短句来源
    Bcklund Transformations and Solitary Wave Solutions with Variable Velocity to Coupled KdV Equations with Variable Coefficients
    变系数KdV方程组的Bcklund变换及其精确解
短句来源
    EXPLICIT EXACT SOLITARY WAVE SOLUTIONS FOR A NEW HAMILTON AMPLITUDE EQUATION
    一个新的哈密顿振幅方程的精确解(英文)
短句来源
    Exact and Explicit Solitary Wave Solutions of A(2+1) -Dimensional Broer-Kaup Equation
    (2+1)维Broer-Kaup方程的精确孤子解(英文)
短句来源
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  solitary
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.
      
The exact solutions and solitary solutions of NLPDE are obtained.
      
With modulus m → 1 or m → 0, these solutions degenerate into corresponding solitary wave solutions, shock wave solutions and trigonometric function solutions.
      
As is well known, Korteweg-de Vries equation is a typical one which has planar solitary wave.
      
By considering higher order transverse disturbance to planar solitary waves, we study a Kadomtsev-Petviashvili (KP) equation and find some interesting results.
      
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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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