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Complete integrability of derivative nonlinear Schrödinger-type equations

Takayuki Tsuchida, Miki Wadati

solv-intarXiv:solv-int/9908006

Abstract

We study matrix generalizations of derivative nonlinear Schrödinger-type equations, which were shown by Olver and Sokolov to possess a higher symmetry. We prove that two of them are `C-integrable' and the rest of them are `S-integrable' in Calogero's terminology.

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