The Kadomtsev-Petviashvili hierarchy with noncommutative time space
type: Item
instance of: scholarly article
title: The Kadomtsev-Petviashvili hierarchy with noncommutative time space
zbMATH Open document ID: 0853.35106
DOI: 10.1007/BF01080014
author: E. E. Demidov
publication date: 1997-01-05T00:00:00Z
review text: The paper defines generalizations of the Kadomtsev-Petviashvili hierarchy for a noncommutative time space and proves the solvability of the Sato-Wilson equation. The generalization is based on the property of the `\(q\)-commutation'' defined as \(t_i t_j= q^{- 1}_{ij} t_j t_i\).
reviewed by: Yuri S. Kivshar
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35Q58
zbMATH DE Number: 859615
zbMATH Keywords: \(q\)-commutation
zbMATH Keywords: Kadomtsev-Petviashvili hierarchy
zbMATH Keywords: solvability
zbMATH Keywords: Sato-Wilson equation
MaRDI profile type: Publication
cites work: A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy
cites work: Solvability of the super KP equation and generalized of the Birkhoff decomposition
full work available at URL: https://doi.org/10.1007/bf01080014
OpenAlex ID: W2092010297
published in: Functional Analysis and Its Applications
description: scientific article; zbMATH DE number 859615