On the Riemann-Hilbert transformations for a Galilean invariant system
type: Item
instance of: scholarly article
title: On the Riemann-Hilbert transformations for a Galilean invariant system
zbMATH Open document ID: 0631.35078
DOI: 10.1007/BF01760820
author: Yoshimasa Nakamura
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 1986-01-01T00:00:00Z
review text: This paper deals with the Riemann-Hilbert transformations for the solution of a Galilean invariant nonlinear problem. New solutions of the system are derived from the old ones by an algebraic R-H transformation using methods of linear algebra. It is proved that the infinitesimal R-H transformations form a Lie algebra of infinite dimension without making recourse to a series of potentials. This procedure succeeds in an algebra homomorphic to a Kac-Moody Lie algebra without center.
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 35A30
Mathematics Subject Classification ID: 22E70
zbMATH DE Number: 4026005
zbMATH Keywords: Riemann-Hilbert transformations
zbMATH Keywords: Galilean invariant nonlinear problem
zbMATH Keywords: algebraic R-H transformation
zbMATH Keywords: Lie algebra
zbMATH Keywords: Kac-Moody Lie algebra without center
MaRDI profile type: Publication
cites work: Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II
cites work: Infinite dimensional Lie algebras acting on chiral fields and the Riemann-Hilbert problem
cites work: Integrable Hamiltonian systems and interactions through quadratic constraints
cites work: Q3844606
cites work: Infinite dimensional Lie algebras. An introduction
cites work: On Heisenberg models with values in Hermitian symmetric spaces
full work available at URL: https://doi.org/10.1007/bf01760820
OpenAlex ID: W2061058520
description: scientific article; zbMATH DE number 4026005