Polynomial Tau-Functions of the n -th Sawada–Kotera Hierarchy

Victor Kac and Johan van de Leur ()
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Victor Kac: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
Johan van de Leur: Mathematical Institute, Utrecht University, P.O. Box 80010, 3508 TA Utrecht, The Netherlands

Mathematics, 2024, vol. 12, issue 5, 1-13

Abstract: We give a review of the B-type Kadomtsev–Petviashvili (BKP) hierarchy and 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.

Keywords: soliton equations; affine Lie algebras; tau-functions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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