Complete integrability of derivative nonlinear Schrödinger-type equations

Details Complete integrability of derivative nonlinear Schrödinger-type equations Complete integrability of derivative nonlinear Schrödinger-type equations

1999-08-11

arxiv.org/abs/solv-int/9908006v1

Inverse Problems 15 (1999) 1363-1373

Nonlinear Sciences

Exactly Solvable and Integrable Systems

14 pages, LaTeX2e (IOP style), to appear in Inverse Problems

Scientific paper

10.1088/0266-5611/15/5/317

We study matrix generalizations of derivative nonlinear Schr\"{o}dinger-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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