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Darboux-Bäcklund solutions of \(\text{SL}(p,q)\) KP-KdV hierarchies, constrained generalized Toda lattices, and two-matrix string model. (English) Zbl 1020.37584


MSC:

37K35 Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems
35Q51 Soliton equations
35Q53 KdV equations (Korteweg-de Vries equations)
37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory

References:

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