Graded algebras of the second rank and integration of nonlinear equations \(Y_{zz}=\exp(2Y)-\exp(-2Y)\), \(Y_{zz}=2\exp(Y)-\exp(-2Y)\)
type: Item
instance of: scholarly article
title: Graded algebras of the second rank and integration of nonlinear equations \(Y_{zz}=\exp(2Y)-\exp(-2Y)\), \(Y_{zz}=2\exp(Y)-\exp(-2Y)\)
zbMATH Open document ID: 0465.35019
DOI: 10.1007/BF00401824
author: A. N. Leznov
author: V. G. Smirnov
published in: Letters in Mathematical Physics
publication date: 1981-01-01T00:00:00Z
Mathematics Subject Classification ID: 35G20
Mathematics Subject Classification ID: 17B70
Mathematics Subject Classification ID: 35A05
zbMATH DE Number: 3728698
zbMATH Keywords: graded Lie algebras
zbMATH Keywords: superalgebras
zbMATH Keywords: group representation theory
zbMATH Keywords: Lax-type representation
zbMATH Keywords: Toda lattice
zbMATH Keywords: Cartan matrix
zbMATH Keywords: Kac-Moody algebras
zbMATH Keywords: periodic problem
zbMATH Keywords: sine-Gordon
zbMATH Keywords: Dodd-Bullough
zbMATH Keywords: Lund-Regge
zbMATH Keywords: Volterra equation
zbMATH Keywords: difference Korteweg de Vries
MaRDI profile type: Publication
cites work: Representation of zero curvature for the system of nonlinear partial differential equations \(x_{\alpha,z\bar z}=\exp(kx)_\alpha\) and its integrability
description: scientific article; zbMATH DE number 3728698