一维非线性薛定谔方程的纽结孤子解
Knot soliton solutions for the one-dimensional non-linear Schrödinger equation
摘要：
我们确定，在很宽的参数范围内的一个变种的孤子解的一维非线性薛定谔方程，{ \it呼吸}，是不同的，当一个研究相关的空间曲线（或孤子表面），在这种情况下是打结。这些具有这样一个隐藏的非平凡拓扑元素的解的意义在两个方面是突出的：它是一个一维模型，非线性薛定谔方程是众所周知的各种物理系统的模型。
英文摘要：
We identify that for a broad range of parameters a variant of the soliton solution of the one-dimensional non-linear Schr\"{odinger} equation, the {\it breather}, is distinct when one studies the associated space curve (or soliton surface), which in this case is knotted. The signi ficance of these solutions with such a hidden non-trivial topological element is pre-eminent on two counts: it is a one-dimensional model, and the no nlinear Schrödinger equation is well known as a model for a variety of physical systems.
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