On a correspondence between N = 2 mKdV and N = 2 sin-Gordon equations

Abstract:
The correspondence between mKdV and sin-Gordon equations for the N = 2 case is considered. By analogy with a nonsupersymmetric case it is established that the sin-Gordon equation coincides with the first negative flow of mKdV hierarchy realized in the ciral basis. Inverse recursion operators are calculated for two values of parameter "a" labelling the mKdV hierarchy, for the case of a = 4 and a = -2.