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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Univ Santiago, Fac Fis, Dept Fis Particulas, E-15706 Santiago De Compostela, SpainUniv Santiago, Fac Fis, Dept Fis Particulas, E-15706 Santiago De Compostela, Spain
Gianzo, D
Madsen, JO
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Univ Santiago, Fac Fis, Dept Fis Particulas, E-15706 Santiago De Compostela, SpainUniv Santiago, Fac Fis, Dept Fis Particulas, E-15706 Santiago De Compostela, Spain
Madsen, JO
Guillén, JS
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Univ Santiago, Fac Fis, Dept Fis Particulas, E-15706 Santiago De Compostela, SpainUniv Santiago, Fac Fis, Dept Fis Particulas, E-15706 Santiago De Compostela, Spain