ON THE SIMPLEST (2-EQUATIONS(1) DIMENSIONAL INTEGRABLE SPIN SYSTEMS AND THEIR EQUIVALENT NONLINEAR SCHRODINGER)

Using a moving space curve formalism, geometrical as well as gauge equ ivalence between a(2+1) dimensional spin equation (M-I equation) and t he (2+1) dimensional nonlinear Schrodinger equation (NLSE) originally discovered by Calogero, discussed then by Zakharov and recently rederi ved by Strachan, have been established. A compatible set of three line ar equations are obtained and integrals of motion are discussed. Throu gh stereographic projection, the M-I equation has been bilinearized an d different types of solutions such as line and curved solitons, break ing solitons, induced dromions, and domain wall type solutions are pre sented. Breaking soliton solutions of (2+1) dimensional NLSE have also been reported. Generalizations of the above spin equation are discuss ed. (C) 1998 American Institute of Physics. [S0022-2488(98)00504-0].