FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2004, VOLUME 10, NUMBER 1, PAGES 239-241

A new hyperbolic equation possessing a zero-curvature representation

M. Pobořil

Abstract

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Using a direct procedure to compute a zero-curvature representation (ZCR) we find a previously unknown hyperbolic equation which possesses an $sl$₂-valued ZCR. This ZCR admits no parameter and is not reducible to a proper subalgebra of $sl$₂.

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Last modified: October 25, 2004