H. Aratyn et al., GENERALIZED MIURA-TRANSFORMATIONS, 2-BOSON KP HIERARCHIES AND THEIR REDUCTION TO KDV HIERARCHIES, Modern physics letters A, 8(32), 1993, pp. 3079-3091
Bracket preserving gauge equivalence is established between several tw
o-boson generated KP type of hierarchies. These KP hierarchies reduce
under symplectic reduction (via Dirac constraints) to KdV, mKdV and Sc
hwarzian KdV hierarchies. Under this reduction the gauge equivalence t
akes the form of the conventional Miura maps between the above KdV typ
e of hierarchies.