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Polynomial tau-functions of the n-th Sawada-Kotera hierarchy (2312.00602v2)
Published 1 Dec 2023 in nlin.SI, hep-th, math-ph, and math.MP
Abstract: We find all polynomial tau-functions of the n-th reduced BKP hierarchy (=n-th Sawada-Kotera hierarchy). The name comes from the fact that for n=3 the simplest equation of the hierarchy is the famous Sawada-Kotera equation.
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