On integrable and super-integrable systems with explicit \(x\)-dependence: An Adler-Kostant-Symes approach

DOI10.1016/S0375-9601(98)00085-1zbMath0949.37046OpenAlexW1997276888MaRDI QIDQ1966677

Yanyan Li

Publication date: 8 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(98)00085-1

zbMATH Keywords

supersymmetric KdV equationHamiltonian structuresloop algebraic setting

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Symmetries of infinite-dimensional dissipative dynamical systems (37L20)

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Cites Work

• A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy
• Systems of Toda type, inverse spectral problems, and representation theory
• Integrable Nonlinear Equations for Water Waves in Straits of Varying Depth and Width
• Integrable dynamical systems with quadratic and cubic nonlinearities related to graded Lie algebras
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems