任意Hopf指数的嵌套多孤子解
Nested Multi-Soliton Solutions with Arbitrary Hopf Index
摘要：
讨论了具有特殊对称破缺项（介电函数）的广义Aratyn-Ferreira-Zimerman O（3）非线性西格玛模型.我们发现了具有有限能量和非平凡Hopf指数的静态多孤子组态，并证明了这种组态是由嵌套的环形孤子组成的。此外，还得到了非平凡类斯佩勒龙解，即总拓扑荷为零的构型。
英文摘要：
Generalized Aratyn-Ferreira-Zimerman O(3) nonlinear sigma model with a particular symmetry breaking term, so-called dielectric function, is discussed. Static multi-soliton configurations with finite energy and nontrivial Hopf index are found. We show that such configurations consist of nested toroidal solitons. Moreover, nontrivial sphaleron-like solutions i.e. configurations with zero total topological charge are also presented.
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