孤立子

Although the Preissman scheme of KP equation is multisymplectic, it took too efforts to realize, Hence we elimate the auxiliary variable by a trivial computation and obtained the multisymplectic forty-five points scheme of KP equation. And then, we test this forty-five points scheme on soliton and solitary waves over long time intervals, the numerical results shows the propagation and interact of soliton and solitary waves.

但是在实际的数值实验中，由于需要计算共轭动量的值，Preissman格式需要占用的计算内存比较大，计算时间比较长，因此我们在数值格式中消去共轭动量，最后得到与多辛Preissman格式等价的一个多辛45点格式，我们用这个格式进行了数值实验，数值实验结果很好地显示了孤立子和孤立波的传播与碰撞。

Firstly, the effect of axial vector meson 〓(1282) upon the moment of inertia and the masssplittings of solitons are studied in the model, which comes from a U(2)〓×U(2)〓chiral meson theory.

首先，从一个U(2)〓× U(2)〓手征介子理论出发，通过模型，考察轴矢量介子〓(1282)对孤立子转动惯量和重子多重态质量劈裂的影响。

A 2×2 matrix differential Lenard operator is extended to a 3×3 oneand the soliton hierarchy with their Lax pairs are deduced easily.

并使孤立子方程谱问题的伴随表示与Lenard算子对有机的连系在一起。

H. Q. Zhang, a uniform and mechanical model of C - D pair construction based on the pseudo-differential division with remainder and the mechanical calculation of exact solutions to nonlinear evolution equations.

第一章介绍了与非线性发展方程相关的孤立子、混沌和分形三种非线性现象，数学机械化，孤立子理论和可积系统研究的历史发展和现状。

In contrast with the Lax representation for soliton equation, there are singu-larities related to spectral parameter in the Lax representation for soliton equationwith self-consistent sources.

与孤立子方程的Lax表示相比，带附加项的孤立子方程的Lax表示中含有谱参数的极点。

A clear relationship between the Hamiltonian structure forthe soliton equations with sources and that for the constrained flows of solitonequation is also given.

文中还给出了带附加项的孤立子方程和孤立子方程的约束系统之间Hamilton结构的约化关系。

In chapter 1, we introduce the development of module theory and it s applications in the development of algebra,and present conditions of development of prime submodule s,prime radicals,isolated submodules.

本文讨论了环与模范畴中一个重要的子模类—孤立子模的一些性质以及它与强不可约子模等之间的一些联系，并引入了强孤立子模和局部孤立子模的概念，探讨了它们的一系列性质，在第一章中，介绍了模论的发展，模论在代数的发展中所起的重要作用以及素子模，素根和孤立子模的发展现状；在第二章中，给出了与本课题有关的重要概念及其结论。

Nonlinear wave equation; nonlinear intensity; solitary wave solution; nonlinear differential-difference system; compacton; peakon; noncontinuous solitary solution; bifurcation

非线性波动方程；非线性强度；奇异孤立波；非线性微分—差分系统；紧孤立了；尖峰孤立子；不连续孤立波；分岔

Luo and Ji (1989) proposed envelope Rossby soliton theory of blocking by relating envelope Rossby soliton to atmospheric blockings.

罗德海和纪立人（1989）则首先将包络Rossby孤立子与阻塞形势联系起来，提出偶极子阻塞形成的包络Rossby孤立子理论。

The objects of study in this paper are some dissipativeSchrodinger equations,including a third order nonlinear Schrodinger equation with fiberloss term which derives from the propagation of optical soliton in a monomode fiber,theweakly damped Schrodinger equation in dimension three,the nonautonomous Ginzburg-Laudau equation and so on.

本学位论文的研究对象是一些耗散型的非线性〓方程，包括描述单模光纤中光孤立子传播的三阶〓方程，三维弱阻尼〓方程和非自治Ginzburg-Landau方程等，研究内容涉及这些方程的整体解的存在唯一性，整体吸引子的存在性，吸引子的正则性，吸引子的维数估计，吸引子的流形逼近，周期解和全局周期吸引子的存在等等。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失