English

Conserved quantities for integrable chiral equations in 2+1 dimensions

solv-int 2009-10-28 v1 Exactly Solvable and Integrable Systems

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.

Keywords

Cite

@article{arxiv.solv-int/9510005,
  title  = {Conserved quantities for integrable chiral equations in 2+1 dimensions},
  author = {T. Ioannidou and R. S. Ward},
  journal= {arXiv preprint arXiv:solv-int/9510005},
  year   = {2009}
}

Comments

10 pages, plainTeX, to appear in Physics Letters A