Abstract
It is also shown in [I] that (0.1) in the "rapidly decreasing" case (IS31 ÷ I, x ÷ ±~) describes a completely integrable Hamiltonian system, and an infinite series Of commuting integrals of motion is calculated. However up until recently the difficulties in applying the MISP to (0.1) were not overcome. They were connected with the absence of an exact formulation of the matrix Riemann problem, corresponding to the elliptic bundle (0.2). The formulation of the Riemann problem needed was recently found by Mikhailov and it was investigated in [2, 3]. Based on this formulation, various procedures for "dressing" were proposed [4, 5] for (0.i).
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