# On the simplest ( 2 + 1 ) dimensional integrable spin systems and their equivalent nonlinear Schrödinger equations

@inproceedings{Myrzakulov1998OnTS, title={On the simplest ( 2 + 1 ) dimensional integrable spin systems and their equivalent nonlinear Schr{\"o}dinger equations}, author={Ratbay Myrzakulov and Sarojini Vijayalakshmi and R. N. Syzdykova and Muthusamy Lakshmanan}, year={1998} }

- Published 1998

Using a moving space curve formalism, geometrical as well as gauge equivalence between a (2+1) dimensional spin equation (M-I equation) and the (2+1) dimensional nonlinear Schrödinger equation (NLSE) originally discovered by Calogero, discussed then by Zakharov and recently rederived by Strachan, have been estabilished. A compatible set of three linear equations are obtained and integrals of motion are discussed. Through stereographic projection, the M-I equation has been bilinearized and… CONTINUE READING