Darboux-Backlund Solutions of SL(p,q) KP-KdV Hierarchies, Constrained Generalized Toda Lattices, and Two-Matrix String Model

Details Darboux-Backlund Solutions of SL(p,q) KP-KdV Hierarchies, Constrained Generalized Toda Lattices, and Two-Matrix String Model Darboux-Backlund Solutions of SL(p,q) KP-KdV Hierarchies, Constrained Generalized Toda Lattices, and Two-Matrix String Model

1995-01-06

arxiv.org/abs/hep-th/9501018v2

Phys.Lett. A201 (1995) 293-305

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 13 pgs, minor typos corrected (incl. in eq. (90))

Scientific paper

10.1016/0375-9601(95)00295-E

We present an unifying description of the graded $SL(p,q)$ KP-KdV hierarchies, 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-B\"{a}cklund transformations. The emerging Darboux-B\"{a}cklund structure is identified as a constrained generalized Toda lattice system relevant for the two-matrix string model. Also, the exact Wronskian solution for the two-matrix model partition function is found.

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