Linear system of differential equations with a quadratic invariant as the Schrödinger equation

DOI10.1134/S1064562421010075zbMath1482.37068OpenAlexW3135659603WikidataQ115247444 ScholiaQ115247444MaRDI QIDQ2243846

Yanyan Li

Publication date: 11 November 2021

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562421010075

zbMATH Keywords

linear systemconservation lawMaxwell equationsSchrödinger equationPoisson bracketcomplex structurequadratic invariantWeyl's inequality

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Systems of linear higher-order PDEs (35G35) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06)

Related Items (1)

Symplectic geometry of the Koopman operator

Cites Work

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• Spectral problems for the curl and Stokes operators
• Linear systems with a quadratic integral
• On the Hamiltonian property of linear dynamical systems in Hilbert space
• Quadratic conservation laws for equations of mathematical physics

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