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hep-th2005
Generalized Eikonal Knots and New Integrable Dynamical Systems
A. Wereszczynski
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…
hep-th2004
Knotted Configurations with Arbitrary Hopf Index from the Eikonal Equation
A. Wereszczynski
The complex eikonal equation in dimensions is investigated. It is shown that this equation generates many multi soliton configurations with arbitrary value of the Hopf inde…
hep-th2004
Integrability and Hopf Solitons in Models with Explicitly Broken O(3) Symmetry
A. Wereszczynski
A wide class of models, built of the three component unit vector field living in the (3+1) Minkowski space-time, which break explicitly global O(3) symmetry are discussed. The symm…