On the Riemann-Hilbert transformations for a Galilean invariant system

DOI10.1007/BF01760820zbMath0631.35078OpenAlexW2061058520MaRDI QIDQ1094597

Yoshimasa Nakamura

Publication date: 1986

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01760820

zbMATH Keywords

Lie algebraalgebraic R-H transformationGalilean invariant nonlinear problemKac-Moody Lie algebra without centerRiemann-Hilbert transformations

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Cites Work

• Unnamed Item
• Infinite dimensional Lie algebras. An introduction
• Infinite dimensional Lie algebras acting on chiral fields and the Riemann-Hilbert problem
• On Heisenberg models with values in Hermitian symmetric spaces
• Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II
• Integrable Hamiltonian systems and interactions through quadratic constraints