Some remarkable relations between group varieties and the solutions of a physically important class of differential equations, called KP hierarchy, are found. In particular, it is proved that to each solution in a certain class, including a lot of physically important solutions such as the famous n-solitons, there is associated in a natural way a group variety.
Group Varieties Related to the KP Hierarchy
BOTTACIN, FRANCESCO
1992
Abstract
Some remarkable relations between group varieties and the solutions of a physically important class of differential equations, called KP hierarchy, are found. In particular, it is proved that to each solution in a certain class, including a lot of physically important solutions such as the famous n-solitons, there is associated in a natural way a group variety.
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