Nicole型模型中的环形孤子
Toroidal Solitons in Nicole-type Models
摘要：
介绍了一类改进的Nicole模型。我们表明，对于特定的家庭成员的拓扑孤子与非平凡值的Hopf指数存在。明确地给出了孤子的形式、能量和拓扑荷，它们与所谓的程函结一致。给出了解的能量与拓扑荷的关系。有趣的是，它似乎与标准的Vakulenko-Kapitansky公式有很大的不同。
英文摘要：
A family of modified Nicole models is introduced. We show that for particular members of the family a topological soliton with a non-trivial value of the Hopf index exists. The form of the solitons as well as their energy and topological charge is explicitly found. They appear to be identical as the so-called eikonal knots. The relation between energy and topological charge of the solution is also presented. Quite interesting it seems to differ drastically from the standard Vakulenko-Kapitansky formula.
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