A proper formulation of restricted flows of soliton hierarchies associated with the first-order matrix spectral problem is given. They define completely integrable finite-dimensional systems invariant with respect to the action of all flows of the hierarchy. The first few restricted flows of the AKNS N = 1, 2 hierarchies are discussed in greater detail. They appear to be multiwave interaction systems.
Ragnisco, O., Rauchwojciechowski, S. (1992). RESTRICTED FLOWS OF THE AKNS HIERARCHY. INVERSE PROBLEMS, 8(2), 245-262 [10.1088/0266-5611/8/2/006].
RESTRICTED FLOWS OF THE AKNS HIERARCHY
RAGNISCO, Orlando;
1992-01-01
Abstract
A proper formulation of restricted flows of soliton hierarchies associated with the first-order matrix spectral problem is given. They define completely integrable finite-dimensional systems invariant with respect to the action of all flows of the hierarchy. The first few restricted flows of the AKNS N = 1, 2 hierarchies are discussed in greater detail. They appear to be multiwave interaction systems.File in questo prodotto:
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