Lie groups, spin equations, and the geometrical interpretation of solitons

DOI10.1063/1.524387zbMath0456.35082OpenAlexW2021857362WikidataQ115332696 ScholiaQ115332696MaRDI QIDQ3905849

George Reiter

Publication date: 1980

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.524387

zbMATH Keywords

evolution equationLie groupssolitonscompatibility conditionsintegrable and nonintegrable systemsspin equations

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Quantum scattering theory (81U99) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items

Torus knots and polynomial invariants for a class of soliton equations ⋮ Local geometric invariants of integrable evolution equations ⋮ The Schrödinger equation as a moving curve ⋮ Sigma model for Ernst equation: Lax representation, Bäcklund transformation and divergence-free currents ⋮ The Korteweg–de Vries hierarchy as dynamics of closed curves in the plane

Cites Work

• Integrable Hamiltonian systems and interactions through quadratic constraints
• Relations among generalized Korteweg–deVries systems
• Solitons on moving space curves
• A Lie group framework for soliton equations. I. Path independent case
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems