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

Victor Kac, Johan van de Leur*

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

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 (Formula presented.), the simplest equation of the hierarchy is the famous Sawada–Kotera equation.

Original languageEnglish
Article number681
Pages (from-to)1-13
Number of pages13
JournalMathematics
Volume12
Issue number5
DOIs
Publication statusPublished - 1 Mar 2024

Bibliographical note

Publisher Copyright:
© 2024 by the authors.

Keywords

  • affine Lie algebras
  • soliton equations
  • tau-functions

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