The structures underlying soliton solutions in integrable hierarchies

Details The structures underlying soliton solutions in integrable hierarchies The structures underlying soliton solutions in integrable hierarchies

1997-01-20

arxiv.org/abs/solv-int/9701013v1

Physics

High Energy Physics

High Energy Physics - Theory

Talk given at the I Latin American Symposium on High Energy Physics, I SILAFAE, Merida, Mexico, November/96, 5 pages, LaTeX, n

Scientific paper

10.1063/1.53232

We point out that a common feature of integrable hierarchies presenting
soliton solutions is the existence of some special ``vacuum solutions'' such
that the Lax operators evaluated on them, lie in some abelian subalgebra of the
associated Kac-Moody algebra. The soliton solutions are constructed out of
those ``vacuum solitons'' by the dressing transformation procedure.

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