Integrable nonlinear equations and Liouville's theorem. II

DOI10.1007/BF01237044zbMath0496.34006OpenAlexW1985648967MaRDI QIDQ1170419

L. A. Dickey

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1007/bf01237044

zbMATH Keywords

complete integrabilitysymplectic structureAbelian mappingLiouville's procedurestationary Lax equation

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (4)

The matrix-resolvent method to tau-functions for the nonlinear Schrödinger hierarchy ⋮ Action-angle variables for the Lie-Poisson Hamiltonian systems associated with Boussinesq equation ⋮ The constrained KP hierarchy and the bigraded Toda hierarchy of \((M, 1)\)-type ⋮ Simple Lie algebras, Drinfeld--Sokolov hierarchies, and multi-point correlation functions

Cites Work

• Hamiltonian formalism for the Novikov-Krichever equations for the commutativity of two operators
• On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
• Integrable nonlinear equations and Liouville's theorem. I

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