Algebraic structure of the gradient-holonomic algorithm for Lax integrable nonlinear dynamical systems. II. The reduction via Dirac and canonical quantization procedure

DOI10.1063/1.530844zbMath0814.58022OpenAlexW2034679095MaRDI QIDQ4318016

Anatoliy K. Prykarpatsky, Valeriy H. Samoylenko, Roman I. Andrushkiw

Publication date: 23 January 1995

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

Full work available at URL: https://doi.org/10.1063/1.530844

zbMATH Keywords

canonical quantizationnonlinear dynamical systemsDiracKorteweg-de Vriesbi-HamiltonianLax integrableBenney-Kaup

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)

Related Items

Operator-valued Camassa-Holm systems and their integrability, Asymptotic soliton-like solutions to the singularly perturbed Benjamin-Bona-Mahony equation with variable coefficients, Lie algebraic approach to the construction of (2+1)-dimensional lattice-field and field integrable Hamiltonian equations, Central extension approach to integrable field and lattice-field systems in \((2+1)\)-dimensions

Cites Work

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