Group theoretic interpretation of equations of Korteweg-de Vries type

DOI10.1007/BF01086556zbMath0477.35078OpenAlexW2000454649MaRDI QIDQ1160823

A. M. Perelomov, F. A. Berezin

Publication date: 1980

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01086556

zbMATH Keywords

symplectic Lie algebraHamiltonianabstract Korteweg-de Vries equation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Lie algebras of Lie groups (22E60) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (1)

The isospectral property for a family of non-self-adjoint operators

Cites Work

• Unnamed Item
• Models of Gross-Neveu type are quantization of a classical mechanics with nonlinear phase space
• Nonlinear evolution equations that leave the spectrum of multidimensional Schrödinger equation invariant do not exist
• On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
• Construction of unitary irreducible representations of Lie groups
• Method for Solving the Korteweg-deVries Equation

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