A remarkable relation between N-soliton solutions of the KP hierarchy and some group varieties is found. Precisely, we prove that to each such solution there is associated, in a natural way, a commutative group variety, which we are able to construct explicitly. These varieties turn out to be products of multiplicative groups.
Explicit Construction of Group Varieties Related to Soliton Solutions of the KP Hierarchy
BOTTACIN, FRANCESCO
1993
Abstract
A remarkable relation between N-soliton solutions of the KP hierarchy and some group varieties is found. Precisely, we prove that to each such solution there is associated, in a natural way, a commutative group variety, which we are able to construct explicitly. These varieties turn out to be products of multiplicative groups.
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