孤立子

综述DNA分子的孤立子理论和弱激光辐射的DNA分子可出现混沌的现象。

The soliton theory of DNA molecular and the emergence of chaos from DNA molecular under the weak laser are summarized .

并由孤立子与混沌运动的特性，解释DNA分子的复制，转录等遗传功能和遗传的变异。

The inheritance and the genetic variation of DNA molecular are explained by means of the characteristics of the soliton and chaos .

高强度激光与等离子体相互作用中的受激Raman级联散射、光子凝聚以及大振幅电磁孤立子的产生与加速

Stimulated Raman cascade_into_photon condensation and ultra_intense EM solitons in laser plasma interaction

从而纠正了参考文献中当k≠0时孤立子不再有尖点的结论。

This result correct the conclusion for k 0 the solitons are no longer peaked appeared in three papers .

在有机蛋白质分子系统中由Pang's孤立子引起的Raman散射的特征

The Properties of Raman Scattering by the Pang 's Solitons in the Organic Molecular System

利用n阶行列式的定义，将一个矩阵恒等式进行了推广，该恒等式在孤立子理论中具有十分重要的核心地位。

On the ham of the definition of n-order determinant , the author generalizes a metrix identity which plays an important role in soliton theory .

它适用于孤立子系统传递函数的相对阶次ni~为任意值的情况。

The scheme is applicable to the case where the relative degree n_i ~ of the transfer function of the isolated subsystem can be any value .

等离子体中Langmuir波、横波和离子声波相互作用过程的孤立子行为

Soliton behavior in the coupled system of Langmuir waves and transverse waves

KdV方程纯孤立子解的整体渐近性质

Global Asymptotic Behavior of Pure Soliton Solutions of the KdV Equation

本文用Reduce语言研究了Skyrme模型中孤立子质量的计算方法。

In this paper by means of Reduce Language we study the calculate method of soliton mass in Skyrme model .

这是首次对f1介子在手征孤立子模型中的效应进行定量估算。

This is the first time to assess quantitatively the effect of f 1 in the chiral soliton model .

本文运用此办法解决了KdV方程的初值问题，得到了单孤立子解、双孤立子解和N个孤立子解。

Based on this method , the KdV equation on the initial condition is solved . And one-soliton , two-soliton and N-soliton solutions are obtained .

调和映射与等距浸入的孤立子理论及其Darboux变换

Soliton Theory of Harmonic Maps and Isometric Immersions and Their Darboux Transformations

Boussinesq方程的变分问题及其有关的Backlund变换与孤立子解

The variational problem for the Boussinesq equation and related Backlund transformation and soliton solution

Sine-Gordon方程孤立子解的表达式

The Expression of Soliton Solution for Sine-Gordon Equation

当计及l重近邻相互作用时，在Brillouin内就有7处存在非传播的孤立子。

There are 1 point non-propagating soliton in the phonon Brillouin zone when considering the lth nearest-neighbor inter-actions .

Toda晶格中特定孤立子的碰撞

Interaction of special solitons in Toda lattice

本文首先介绍槽中Faraday水波所满足的Miles方程，以及相应的非传播呼吸式和扭结式孤立子解。

The Miles ' equation which is satisfied by the Faraday wave within the trough , and the corresponding solution of the nonpropagating breather solitons and kink solitons are introduced .

具有阻尼耗散的DNLS方程的孤立子解析解

Analytical solitary solutions to DNLS equation with damping and dispersion

因此，我们将分别研究考虑Power-law和Kac-Baker两种不同类型的长程谐振相互作用下非线性晶格的孤立子的性质。

We study firstly soliton properties of nonlinear lattices with power-law and Kac-Baker long-range harmonic interactions , respectively .

通过线性稳定性分析，证明了经典的好Boussinesq方程存在同宿轨解，经典的坏Boussinesq方程存在孤立子解。

By the linearized stability analysis , the existences of homoclinic orbits for " good " Boussinesq equation and periodic soliton for " bad " Boussinesq equation are proved .

从电磁学的角度考察孤立子，给出KdV方程，得到孤立子在相互作用过程中具有保持形状不变等基本性质；

By discussion of the KdV equation and its solution the basic properties of soliton , the preservation of their shape under mutual interaction etc , are obtained .

采用Hirota方法解析求解KP方程，得到KP方程多孤立子解的解析表达式，并用图形模拟多孤子的相互作用过程。

The N-soliton solution of KP equation has been obtained by the Hirota method . Moreover , the interaction process of N-soliton is described by numerical results .

本文的方法同样适用于波色-爱因斯坦凝聚中的拟晶格孤立子（Proposedlatticesolitons）存在性的研究。另外，本文的第三部分应用山路引理研究了二维几何约束磁墙模型解的存在性。

Finally , Our approach also can be applied to research the proposed lattice solitons in Bose-Einstein condensates . Besides , In this paper , the third chapter uses Mountain Pass Lemma to proof existence of solutions in two-dimensional geometric constraint magnetic wall model .

本文引入了Morison的经验方法、模态分离法来估算孤立子内波对小直径圆柱形桩柱作用力。

In this paper , Morison 's empirical method and modal separation were introduced to estimate the internal solitons ' force on small diameter cylindrical piles .

本文研究内容主要涉及到孤立子理论中精确求解非线性发展方程，B（？）cklund变换，Darboux变换及非线性发展方程的复合型解等几个方面。

This paper studies mainly the exact solutions of nonlinear evolution equations , Backlund transformation , Darboux transformation and the complexion solutions of nonlinear evolution equations in soliton theory .

另一类是突出阻塞形势的局地特征，主要包括‘modons’理论以及KdV型Rossby孤立子理论。

The other kind is based on the region characters , which mostly consists of ' modons ' theory and KdV Rossby soliton theory .

一维反铁磁分子晶体NENP中的孤立子激发

Solitary excitation in 1 D antiferromagnetic molecular crystal nenp

本文简要介绍了求解孤立子方程的逆散射变换方法及一种求解KdV方程的数值格式，并给出了一批较为令人满意的数值结果。

This paper briefly presents the inverse scattering transformation method for solving soliton equations , and a kind of numerical scheme to solve Kdv equation . Finally , a set of satisfactory numerical results are given .

然后，利用Hirota双线性方法，得到了方程的新同宿轨和孤立子解。

And then using the Hirota 's bilinear method , the explicit expressions of new homoclinic orbits and periodic soliton solutions for the classical Boussinesq equations are obtained .