H. Aratyn et al., DARBOUX-BACKLUND SOLUTIONS OF SL(P,Q) KP-KDV HIERARCHIES, CONSTRAINEDGENERALIZED TODA-LATTICES, AND 2-MATRIX STRING MODEL, Physics letters. A, 201(4), 1995, pp. 293-305
We present a unifying description of the graded SL(p, q) KP-KdV hierar
chies, including the Wronskian construction of their tau-functions as
well as the coefficients of the pertinent Lax operators, obtained via
successive applications of special Darboux-Backlund transformations. T
he emerging Darboux-Backlund structure is identified as a constrained
generalized Toda lattice system relevant for the two-matrix string mod
el, It allows simple derivation of the eta-soliton solutions of the un
constrained KP system, Also, the exact Wronskian solution for the two-
matrix model partition function is found.