Integrable dynamical systems with quadratic and cubic nonlinearities related to graded Lie algebras

DOI10.1063/1.529233zbMath0737.58026OpenAlexW2055916694MaRDI QIDQ3980904

Zhuhan Jiang, Stefan Rauch-Wojciechowski

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.1063/1.529233

zbMATH Keywords

Lax pairintegrable dynamical systemsAdler-Konstant-Symes theorem

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Graded Lie (super)algebras (17B70)

Related Items (4)

Integrability and a new breed of solitons of an NLS type equation in \(2+1\) dimensions ⋮ Lie symmetries and their local determinacy for a class of differential-difference equations ⋮ On integrable and super-integrable systems with explicit \(x\)-dependence: An Adler-Kostant-Symes approach ⋮ The intrinsicality of Lie symmetries of \(u_n^{(k)}(t)=F_n(t,u_{n+a},\dots,u_{n+b})\)

Cites Work

• Nonlinear Schrödinger equations and simple Lie algebras
• Completely integrable systems, Euclidean Lie algebras, and curves
• Systems of Toda type, inverse spectral problems, and representation theory
• Integrability and non-integrability in Hamiltonian mechanics
• Restricted multiple three-wave interactions: Integrable cases of this system and other related systems
• Construction of scattering data for a class of multidimensional scattering operators
• A general setting for reduction of dynamical systems
• Coupling of surface and internal gravity waves: a mode coupling model
• A note on the complete integrability in one space-dimension
• Integrability of One Particle in a Perturbed Central Quartic Potential

This page was built for publication: Integrable dynamical systems with quadratic and cubic nonlinearities related to graded Lie algebras