Complete integrability of derivative nonlinear Schrödinger-type equations

1999/08/11 by Takayuki Tsuchida, Miki Wadati · 3 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #nlin.SI #solv-int

paper · pdf · doi:10.1088/0266-5611/15/5/317

published as Inverse Problems 15 (1999) 1363-1373 · 14 pages, LaTeX2e (IOP style), to appear in Inverse Problems

arxiv created 1999/08/11 · openalex publication_date 1999/10/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31

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.

Citations

• Integrable semi-discretization of the coupled nonlinear Schrödinger equations

Cited by

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