Kac-Moody Lie algebras and soliton equations. III: Stationary equations associated with \(A_ 1^{(1)}\)

DOI10.1016/0167-2789(83)90275-0zbMath0643.35099OpenAlexW1560522851MaRDI QIDQ1101901

Alan C. Newell, Hermann Flaschka, Tudor S. Ratiu

Publication date: 1983

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(83)90275-0

zbMATH Keywords

Hamiltonian structureKac-Moody Lie algebrasstationary soliton equations

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items

Modified non-Abelian Toda field equations and twisted quasigraded Lie algebras, Linear integral transformations and hierarchies of integrable nonlinear evolution equations, On a Lagrangian reduction and a deformation of completely integrable systems, Isospectral Hamiltonian flows in finite and infinite dimensions. I: Generalized Moser systems and moment maps into loop algebras, Hamiltonian flows for a reduced Maxwell-Bloch system with permanent dipole, The symmetries of solitons, On geometric phases for soliton equations, Generalized Bäcklund-Darboux transformation: Spectral properties and nonlinear equations, Canonical structure of soliton equations. I, Bäcklund equations on Kac-Moody-Lie algebras and integrable systems, Multiform description of the AKNS hierarchy and classical r-matrix

Cites Work

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• Kac-Moody Lie algebras and soliton equations. II: Lax equations associated with \(A_ 1^{(1)}\)
• Completely integrable systems, Euclidean Lie algebras, and curves
• Integrable nonlinear equations and Liouville's theorem. I
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems