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The structures underlying soliton solutions in integrable hierarchies

Luiz A. Ferreira
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Abstract

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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BibTeXRIS

Luiz A. Ferreira. 1997-01-20. The structures underlying soliton solutions in integrable hierarchies. https://doi.org/10.1063/1.53232

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