106 citations · 328 across the 12 of their papers we have counts for
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Nested Multi-Soliton Solutions with Arbitrary Hopf Index
A. Wereszczynski
Generalized Aratyn-Ferreira-Zimerman O(3) nonlinear sigma model with a particular symmetry breaking term, so-called dielectric function, is discussed. Static multi-soliton configur…
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…
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…
Toroidal Soliton Solutions in O(3)^N Nonlinear Sigma Model
A. Wereszczynski
A set of N three component unit scalar fields in (3+1) Minkowski space-time is investigated. The highly nonlinear coupling between them is chosen to omit the scaling instabilities.…