108 citations · 1.1k across the 73 of their papers we have counts for
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Exact static soliton solutions of 3+1 dimensional integrable theory with nonzero Hopf numbers
H. Aratyn, L. A. Ferreira, A. H. Zimerman
In this paper we construct explicitly an infinite number of Hopfions (static, soliton solutions with non-zero Hopf topological charges) within the recently proposed 3+1-dimensional…
Multi-Component Matrix KP Hierarchies as Symmetry-Enhanced Scalar KP Hierarchies and Their Darboux-B"acklund Solutions
Henrik Aratyn, Emil Nissimov, Svetlana Pacheva
We show that any multi-component matrix KP hierarchy is equivalent to the standard one-component (scalar) KP hierarchy endowed with a special infinite set of abelian additional sym…
Toroidal solitons in 3+1 dimensional integrable theories
H. Aratyn, L. A. Ferreira, A. H. Zimerman
We analyze the integrability properties of models defined on the symmetric space SU(2)/U(1) in 3+1 dimensions, using a recently proposed approach for integrable theories in any dim…