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

Victor Kac; Johan van de Leur

doi:10.3390/math12050681

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

Victor Kac, Johan van de Leur^*

^*Corresponding author for this work

Massachusetts Institute of Technology

Research output: Contribution to journal › Article › Academic › peer-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 language	English
Article number	681
Pages (from-to)	1-13
Number of pages	13
Journal	Mathematics
Volume	12
Issue number	5
DOIs	https://doi.org/10.3390/math12050681
Publication status	Published - 1 Mar 2024

Bibliographical note

Publisher Copyright:
© 2024 by the authors.

Keywords

affine Lie algebras
soliton equations
tau-functions

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10.3390/math12050681Licence: CC BY

mathematics-12-00681-v2Final published version, 278 KBLicence: CC BY

Cite this

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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.",

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KW - soliton equations

KW - tau-functions

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

Abstract

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Keywords

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