On integrability of dynamical systems

DOI10.1134/S0081543820050053zbMath1454.35313OpenAlexW3111446224MaRDI QIDQ2214280

Igor V. Volovich

Publication date: 8 December 2020

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543820050053

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Cites Work

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• Local and nonlocal currents for nonlinear equations
• Lie algebras and equations of Korteweg-de Vries type
• Algebraic aspects of nonlinear differential equations
• Complete integrability of quantum and classical dynamical systems
• Polynomial conservation laws in quantum systems
• Classical and quantum superintegrability with applications
• Topology of the configuration space, singularities of the potential, and polynomial integrals of equations of dynamics
• Integrability and non-integrability in Hamiltonian mechanics
• Topology, singularities and integrability in Hamiltonian systems with two degrees of freedom
• Three Lectures on “Fifty Years of KdV: An Integrable System”
• Linear systems with quadratic integral and complete integrability of the Schrödinger equation

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