Quadratic conservation laws for equations of mathematical physics

DOI10.1070/RM9947zbMath1489.34087OpenAlexW3037821710WikidataQ114849635 ScholiaQ114849635MaRDI QIDQ5118056

Valery V. Kozlov

Publication date: 4 September 2020

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm9947

zbMATH Keywords

linear systemsHilbert spacePoisson bracketHamiltonian systemequations of mathematical physicsquadratic invariants

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Linear differential equations in abstract spaces (34G10)

Related Items

On the ergodic theory of equations of mathematical physics, On integrable systems outside Nijenhuis and Haantjes geometry, Linear nonautonomous systems of differential equations with a quadratic integral, Hamilton-Jacobi and Klein-Gordon-Fock equations for a charged test particle in space-time with simply transitive four-parameter groups of motions, On a class of quadratic conservation laws for Newton equations in Euclidean space, Separation of variables in the Hamilton-Jacobi equation for geodesics in two and three dimensions, Linear system of differential equations with a quadratic invariant as the Schrödinger equation, Symplectic geometry of the Koopman operator, Quantization of linear systems of differential equations with a quadratic invariant in a Hilbert space

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