Hamiltonian structures and Lax equations generated by matrix differential operators with polynomial dependence on a parameter

DOI10.1007/BF01206877zbMath0547.35017OpenAlexW2068432972MaRDI QIDQ798837

L. A. Dickey

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1007/bf01206877

zbMATH Keywords

Hamiltonian structureLie algebrasinverse scattering methodequations of Lax typeZakharov-Shabat equations

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Linear first-order PDEs (35F05) General theory of PDEs and systems of PDEs with constant coefficients (35E20) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items

A one-dimensional model for n-level atoms coupled to an electromagnetic field, Linear integral transformations and hierarchies of integrable nonlinear evolution equations, General Zakharov-Shabat equations, multi-time Hamiltonian formalism, and constants of motion, Symplectic structure, Lagrangian, and involutiveness of first integrals of the principal chiral field equation

Cites Work

• Gel'fand-Dikii method and nonlinear equations associated to Schrödinger operators with energy-dependent potentials
• Integrable nonlinear equations and Liouville's theorem. I