A Lie group framework for soliton equations. I. Path independent case

DOI10.1063/1.523202zbMath0375.35051OpenAlexW2041575591WikidataQ115332947 ScholiaQ115332947MaRDI QIDQ4155247

James Corones, V. A. Rizov, B. L. Markovski

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1063/1.523202

Mathematics Subject Classification ID

Nonlinear higher-order PDEs (35G20) Partial differential equations of mathematical physics and other areas of application (35Q99) Local Lie groups (22E05)

Related Items

An illustration of the Lie group framework for soliton equations: Generalizations of the Lund–Regge model, Cotangent bundle approach to noninertial frames, The KdV prolongation algebra, Lie groups, spin equations, and the geometrical interpretation of solitons

Cites Work

• Integrable Hamiltonian systems and interactions through quadratic constraints
• Conservation of Isotopic Spin and Isotopic Gauge Invariance
• Integral Formalism for Gauge Fields
• Prolongation structures of nonlinear evolution equations
• Solitons and simple pseudopotentials
• Unified approach to strings and vortices with soliton solutions