Generalized Eikonal Knots and New Integrable Dynamical Systems

Details Generalized Eikonal Knots and New Integrable Dynamical Systems Generalized Eikonal Knots and New Integrable Dynamical Systems

2005-08-17

arxiv.org/abs/hep-th/0508121v1

Phys.Lett. B621 (2005) 201-207

Physics

High Energy Physics

High Energy Physics - Theory

13 pages

Scientific paper

10.1016/j.physletb.2005.06.050

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 (so called 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 non-trivial 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.

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