On Addition Formulae of KP, mKP and BKP Hierarchies
Yoko Shigyo

TL;DR
This paper investigates addition formulae of KP, mKP, and BKP hierarchies, proving their equivalence to simple equations and providing new direct proofs for KP and mKP cases, with applicability to BKP.
Contribution
It offers alternative, direct proofs for KP and mKP hierarchies' addition formulae and demonstrates the method's applicability to BKP hierarchy.
Findings
Hierarchies are equivalent to their addition formulae's simplest equations
New direct proofs for KP and mKP hierarchies
Method applicable to BKP hierarchy
Abstract
In this paper we study the addition formulae of the KP, the mKP and the BKP hierarchies. We prove that the total hierarchies are equivalent to the simplest equations of their addition formulae. In the case of the KP and the mKP hierarchies those results had previously been proved by Noumi, Takasaki and Takebe by way of wave functions. Here we give alternative and direct proofs for the case of the KP and mKP hierarchies. Our method can equally be applied to the BKP hierarchy.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
