Symmetry algebra of the Benjamin-Ono equation
type: Item
instance of: scholarly article
title: Symmetry algebra of the Benjamin-Ono equation
zbMATH Open document ID: 0933.45006
DOI: 10.1023/A:1006135314342
published in: Acta Applicandae Mathematicae
publication date: 2000-04-04T00:00:00Z
review text: This paper concerns the Benjamin-Ono equation in the form \[ u_t=2uu_x+Hu_{xx}, \] where \(H\) is the Hilbert transform operator \[ Hu(x)= {1\over\pi} P\int^{+\infty}_{-\infty} {u(z)\over x-z} dz. \] Here \(P\) denotes the principal value. The Lie algebra structure for symmetries of the Benjamin-Ono equation is completely described.
reviewed by: Sebastian Aniţa
Mathematics Subject Classification ID: 45K05
zbMATH DE Number: 1340259
zbMATH Keywords: symmetry algebra
zbMATH Keywords: Benjamin-Ono equation
zbMATH Keywords: Hilbert transform
zbMATH Keywords: Lie algebra structure
author: Vladimir N. Chetverikov
MaRDI profile type: Publication
full work available at URL: a:1006135314342
OpenAlex ID: W81464272
description: scientific article; zbMATH DE number 1340259