A (2-DIMENSIONAL INTEGRABLE SPIN MODEL - GEOMETRICAL AND GAUGE EQUIVALENT COUNTERPART, SOLITONS AND LOCALIZED COHERENT STRUCTURES(1))

A non-isospectral (2 + 1)-dimensional integrable spin equation is inve stigated. It is shown that its geometrical and gauge equivalent counte rparts are the (2 + 1)-dimensional non-linear Schrodinger equation bel onging to the class of equations discovered by Calogero and then discu ssed by Zakharov and studied recently by Strachan. Using a Hirota bili nearized form, line and curved soliton solutions are obtained. Using a certain freedom (arbitrariness) in the solutions of the bilinearized equation, exponentially localized dromion-like solutions for the poten tial are found. Also, breaking soliton solutions (for the spin variabl es) of shock wave type and algebraically localized nature are construc ted. (C) 1997 Published by Elsevier Science B.V.