Conserved quantities for integrable chiral equations in 2+1 dimensions

Details Conserved quantities for integrable chiral equations in 2+1 dimensions Conserved quantities for integrable chiral equations in 2+1 dimensions

1995-10-17

arxiv.org/abs/solv-int/9510005v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

10 pages, plainTeX, to appear in Physics Letters A

Scientific paper

10.1016/0375-9601(95)00781-W

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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