基本释义:

孤[立]子

网络释义

1)soliton,孤[立]子

2)soliton(antisolitinitions),孤立子（反孤立子）

3)soliton,孤立子

4)isolated submodule,孤立子模

5)solitons,孤立子

6)soliton solution,孤立子解

7)internal soliton,内孤立子

8)soliton solutions,孤立子解

9)KdV solitary waves,KdV孤立子

10)NLS solitary waves,NLS孤立子

用法和例句

Characteristic of soliton in martensitic transformation interface;

马氏体相变界面的孤[立]子特性

Coherent structure and soliton—An essential paradigm of nonlinear science;

拟序结构和孤[立]子—非线性科学的实质性范例

New homoclinic orbits and soliton solutions for the classical Boussinesq equations;

经典Boussinesq方程的新同宿轨和孤[立]子解

The isolated submodules play important roles in the study of rings and categories of modules.

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。

The research on Hamiltonian integrable systems is one of the most important topics in the theory of solitons.

由Hamiltonian方程发展而来的Hamiltonian可积系统是现代孤[立]子理论的重要组成部分。

Firstly,the existence of solitons associated with the ground states is obtained by variational calculus,and then the instability of the solitons is proved according to the result.

首先利用变分法得出了具基态的孤[立]子的存在性 ,然后根据这个结果和有关定理证明了该孤[立]子的不稳定

Sufficient conditions for the shorter curve of soliton solutions of KdV equations;

一类孤[立]子解为短程线的充分条件

Multi-soliton solution of the Faddeev model;

Faddeev模型中的多孤[立]子解

Exact travelling wave solutions and concave or convex peaked and smooth soliton solutions of Camassa-Holm equation;

Camassa-Holm方程的精确行波解及其凹凸尖峰与光滑孤[立]子解

Peaked soliton solutions of shallow water wave equations on nonlinear strength;

非线性强度下浅水波方程的尖峰孤[立]子解

Some solutions are obtained which include bright soliton solutions,dark soliton solutions,Jacobi elliptic function doubly periodical solutions,triangular solutions,and a new type of soliton solutions by this method.

将范恩贵教授最近提出的新代数法推广应用到Zakharov方程组,比较方便地得到了新的解析周期解,包括亮孤子解、暗孤子解J、acobi椭圆函数双周期解、三角函数解和一种新形式的孤[立]子解等。