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From One-Component KP Hierarchy to Two-Component KP Hierarchy and Back

H. Aratyn, E. Nissimov, S. Pacheva

solv-intarXiv:solv-int/9808003

Abstract

We show that the system of the standard one-component KP hierarchy endowed with a special infinite set of abelian additional symmetries, generated by squared eigenfunction potentials, is equivalent to the two-component KP hierarchy.

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