KdV solves BKP

Proc Natl Acad Sci U S A. 2021 Jun 22;118(25):e2101917118. doi: 10.1073/pnas.2101917118.

Abstract

In this note, we prove that any τ-function of the Korteweg-de Vries (KdV) hierarchy also solves the type B Kadomtsev-Petviashvili (BKP) hierarchy after a simple rescaling of times.

Keywords: BKP hierarchy; Hirota bilinear identity; KdV hierarchy; τ-functions.

Publication types

  • Research Support, Non-U.S. Gov't