Nested Multi-Soliton Solutions with Arbitrary Hopf Index

Details Nested Multi-Soliton Solutions with Arbitrary Hopf Index Nested Multi-Soliton Solutions with Arbitrary Hopf Index

2004-10-11

arxiv.org/abs/math-ph/0410031v1

ActaPhys.Polon.B35:2367-2376,2004

Physics

Mathematical Physics

11 pages, 4 figures

Scientific paper

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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