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solitary solution     
相关语句
  孤波解
     Finally, we derive many new exact solutions: solitary solution, solitary-like solution, periodic solution, period-like solution, rational solution, and so on.
     获得了这些方程许多新的精确解(孤波解、类孤波解、周期解、类周期解、有理解等)。
短句来源
     Based on the method of coherent states, the nonlinear effects caused by theinteraction between electrons and acoustic lattice vibrations in an anharmonic linearchains are investigated in the second-neighbour interaction approximation. Whilethe continous limits of the equations of motion is considered self-consistently, thecubic anharmonicity of the deformaiale potential leads to a new nonlinear equationfor the electronic orobability amolitute, which gives a new solitary solution in theform of hyperelliptic integral.
     基于相干态方法,在次近邻相互作用近似下研究了非谐性线性链中电子与声学晶格振动之间相互作用所引起的非线性效应,采用自治地处理运动方程的连续极限,立方非谐性形变势导致新的电子概率幅的非线性方程,并由此给出新的超椭圆积分形式的孤波解
短句来源
     Power series expansion mehtods are used to study nonlinear blood waves due to arterial branching,and get the KdV equation and Gardner equation. Then the periodic solution and the solitary solution are obtained.
     运用幂级数展开法求解了动脉分支非线性血液脉搏波方程,首先将其化为KdV(Korteweg-de Vries)方程和混合的KdV-mKdV方程(也称为Gardner方程),进而获得了该系统的周期波解和孤波解.
短句来源
  孤子解
     SOLITARY SOLUTION IN A MODIFIED HUBBARD CHAIN WITH FINITE LENGTH
     有限长Hubbard链中的孤子解
短句来源
     By using // formal orderings, we make sure Zhang's conclusion of proper solutions. The second part, with the aid of many types constructive transformation and symbolic computation(especially Wu algebraic elemination method), some topics in nonlinear evolution equation are studied, including exact solution(solitary solution, periodic solution, rational function solutions and Jacobian function solution),Backlund transformation, Cole-Hopf transformation, dromion solution and its construction etc.
     第二部分以构造性的变换及符号计算特别是(吴代数消元法)为工具,来研究非线性演化方程中的一些问题:精确解(如孤子解、周期解、有理解和雅可比椭圆函数解(双周期解)等)、Backlund变换、Hopf变换,dromion解及衰变结构等.
短句来源
     A simple solitary solution and infinitely many rational
     利用扩展齐次平衡法,我们得到了1+1维和2+1维高阶BK方程组新的孤子解和无穷多有理函数解,尤其是求出了初始值问题解的封闭形式
短句来源
     By way of appling the extended form of homogeneous balancing method to nonlinear evolution equation of the constant coefficient, and to nonlinear development of variable coefficient, this paper obtains, as examples, Burgers Kdv equation with constant coefficient as well as solitary solution and solution-like solutions to the Kdv equation with variable coefficient.
     将齐次平衡法的展开式应用于常系数的非线性演化方程和变系数的非线性发展中 ,作为例子求得了常系数的Burgers-Kdv方程和变系数的Kdv方程的孤子解和类孤子解
短句来源
     and thereafter a new explicit exact solitary solution for the wellknown Burgers equation is shown, which was not found before.
     由此发现了Burgers方程的一类新的孤子解.
短句来源
  “solitary solution”译为未确定词的双语例句
     By using seven anaszs,abundant solutions including compacton,smooth solitary solution,peakon,diaplacement peakon and periodic solution are obtained. Particularly the double solitary wave solution with peakon double singular solitary wave solution is obtained.
     通过7种拟设得到了该方程丰富的精确解:紧孤立波解(compacton),多重紧孤立波解,光滑孤立波解,尖峰孤立波解(peakon),移动尖峰孤立波解,周期解等,特别是得到了一类新型孤立波解即具有尖点或者奇异点的双孤立波解.
短句来源
     And we numerically simulated the solitary solution and interaction between two solitons.
     并对孤子演化及其相互作用进行了简化数值模拟。
短句来源
     The solitary solution and standing wave solution were computed by computerIBM PC/XT,which were compared with that of other methods.
     采用本文格式利用快速 Fourier 变换计算了孤粒子解与驻波解,且与一些现有算法作了比较,说明拟谱法具有速度快、精度高的优点。
短句来源
     Abstract This paper, by way of the greatest common right denominator of polynomial matrix, gives sufficient and necessary conditions of nonsingular of R-block circulant matrix and symmetric R-block circulant matrix and the solitary solution of inverse problems of linear equations, then deduces the way to compute inverse, the solitary solution of linear equations and the solitary solution of inverse problems of linear equations in block circulant matrix.
     本文利用多项式矩阵最大右公因式,给出R-循环分块矩阵和对称R-循环分块矩阵非奇异以及线性方程组反问题有唯一解的充要条件,进而得到它们求逆、线性方程组有唯一解、线性方程组在循环分块矩阵中的反问题求唯一解的算法.
短句来源
     This paper, by way of the greatest common right denominator of polynomial matrix, gives sufficient and necessary conditions of nonsingular of R-block circulant matrix and symmetric R-block circulant matrix and the solitary solution of inverse problems of linear equations, then deduces the way to compute inverse, the solitary solution of linear equations and the solitary solution of inverse problems of linear equations in block circulant matrix.
     本文作者利用多项式矩阵最大右公因式,给出R—循环分块矩阵和对称R—循环分块矩阵非奇异以及线性方程组反问题有唯一解的充要条件,进而得到它们求逆、线性方程组有唯一解、线性方程组在循环分块矩阵中的反问题求唯一解的算法。
短句来源
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  solitary solution
We find that the softening of these modes gives rise to a family of periodic travelling waves and to a solitary solution (dipole domain).
      
We obtain not only a solitary solution, but also a bifurcation solution.
      
Bifurcation and solitary solution of a transient temperature field along axis of gun muzzle
      
For the one-ring solitary solution this is the only route to a symmetry-preserving instability.
      


We stutied the nonlinear modulation of the gravitation surface-tension waves on the interface between two layers of imcompressible inviscid fluids which are contained in a rectangular waveguide with horizontal solid walls, by the meth rd of multiple scales technique, and generalized the theory of Larraza and Putterman. Including the surface-tension effects, we found that the first order modulated wave satisfies the cubic Schrodinger equation. Then me derived the non-propagating solitary solution, and made...

We stutied the nonlinear modulation of the gravitation surface-tension waves on the interface between two layers of imcompressible inviscid fluids which are contained in a rectangular waveguide with horizontal solid walls, by the meth rd of multiple scales technique, and generalized the theory of Larraza and Putterman. Including the surface-tension effects, we found that the first order modulated wave satisfies the cubic Schrodinger equation. Then me derived the non-propagating solitary solution, and made some discussion on the results obtained.

本文用多重尺度微扰方法研究了矩形波导中二水平固壁间两层不可压无粘流体界面上重力-表面张力波的非线性调制。将Larraza和Putterman的理论进行了推广,并计入了表面张力,得出了第一阶调制波满足非线性Schrodinger方程,求出了非传播孤波解,并对结果进行了讨论。

The perturbed Sine-Cordon equations (SGE) in the circular symmetric annular tunnel junctions are investigated by the numerical method.In the region of suitable parameters of the perturbed SGE there exists a kind of ring shaped wave propagations,which can be considered as a quasi-solitary solutions,corresponding to the vortex of excitation in the circular symmetric annular tunnel junctions.As the biased current increases we find a limit value of it,above which the solutions of the perturbed AGE transit...

The perturbed Sine-Cordon equations (SGE) in the circular symmetric annular tunnel junctions are investigated by the numerical method.In the region of suitable parameters of the perturbed SGE there exists a kind of ring shaped wave propagations,which can be considered as a quasi-solitary solutions,corresponding to the vortex of excitation in the circular symmetric annular tunnel junctions.As the biased current increases we find a limit value of it,above which the solutions of the perturbed AGE transit to another kind of solutions as we described previously in ref.[1].The behavior of the two kinds of solutions in the perturbed SGE is different from each other s'aliently.Finally,our calculations in this paper make noticeable the zero-field step in the I-v characteristics.

用数值计算法研究圆对称环域结的扰动 Sine-Gordon 方程(SGE).在适当的参数范围内,扰动 SGE 存在具有准孤粒子性质的环形波解,它对应着圆对称环域结中涡旋线的激发.我们发现:这种解存在着一个最大偏置电流,当超过这个偏置电流的极限值时,扰动 SGE 的这种解便退化成文献[1]中所述的那种解.扰动 SGE 中这两种解的性质存在着明显的差别.本文的计算也显示出 I-V 特性曲线中的零场台阶.

In this paper, we obtain a family of solitary solutions for the K-P equationand the Boussinesq equationMoreover, we obtain a class of analytic solutions for the Schrodinger equationand the Klein-Gordon equation

本文我们求出了K—P方程和Boussinesq方程的孤立波解族.求出了广义Schr(?)dinger方程和Klein—Gordon方程的一类解析解.

 
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