Article ID Journal Published Year Pages File Type
9861060 Physics Letters B 2005 7 Pages PDF
Abstract
A new class of non-linear O(3) models is introduced. It is shown that these systems lead to integrable submodels if an additional integrability condition (the generalized eikonal equation) is imposed. In the case of particular members of the family of the models the exact solutions describing toroidal solitons with a nontrivial value of the Hopf index are obtained. Moreover, the generalized eikonal equation is analyzed in detail. Topological solutions describing torus knots are presented. Multi-knot configurations are found as well.
Related Topics
Physical Sciences and Engineering Physics and Astronomy Nuclear and High Energy Physics
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