Differential operators commuting in the principal part

DOI10.1007/s11232-012-0042-5zbMath1276.13019OpenAlexW2051981507MaRDI QIDQ378546

R. A. Gabiev, A. B. Shabat

Publication date: 12 November 2013

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-012-0042-5

zbMATH Keywords

classificationcommutative ring of differential operatorsSchur's formula

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Commutative rings of differential operators and their modules (13N10)

Related Items (1)

Quantum tops as examples of commuting differential operators

Cites Work

• Solutions of two-dimensional Schrödinger-type equations in a magnetic field
• Pure quantum integrability
• The symmetry approach to the classification of non-linear equations. Complete lists of integrable systems
• Quasi-exactly solvable Lie algebras of differential operators in two complex variables

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