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Conserved quantities for integrable chiral equations in 2+1 dimensions

1995/10/17 by Theodora Ioannidou, T. Ioannidou, R. S. Ward · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons #nlin.SI #solv-int

paper · pdf · doi:10.1016/0375-9601(95)00781-w

10 pages, plainTeX, to appear in Physics Letters A

arxiv created 1995/10/17 · openalex publication_date 1995/11/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The integrable (2+1)-dimensional chiral equations are related to the self-dual Yang-Mills equation. Previously-known nonlocal conservation laws do not yield finite conserved charges, because the relevant spatial integrals diverge. We exhibit infinite sequences of conserved quantities that do exist, and have a simple explicit form.

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