Commuting pairs of linear ordinary differential operators of orders four and six
From MaRDI portal
Publication:1108567
DOI10.1016/0167-2789(88)90007-3zbMath0654.47027OpenAlexW1988546450MaRDI QIDQ1108567
Publication date: 1988
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0167-2789(88)90007-3
elliptic curvecommutative rings of differential operatorsdescription of all commuting linear ordinary differential operators of order four and six
General theory of ordinary differential operators (47E05) Linear ordinary differential equations and systems (34A30)
Related Items
Darboux transformations for higher-rank Kadomtsev-Petviashvili and Krichever-Novikov equations, Rank 2 commuting ordinary differential operators and Darboux conjugates of KdV, KP solutions generated from KdV by `rank' 2 transference, An algorithm for construction of commuting ordinary differential operators by geometric data, Discretization of commuting ordinary differential operators of rank 2 in the case of elliptic spectral curves, On commuting differential operators of rank 2, Commuting Krichever-Novikov differential operators with polynomial coefficients, Unnamed Item, Centralizers of rank one in the first Weyl algebra, Fourier–Mukai transform on Weierstrass cubics and commuting differential operators, Self-adjoint commuting ordinary differential operators, Commuting ordinary differential operators and the Dixmier test, Darboux transformations of the square of a Schrödinger operator and associated evolution equations, Self-adjoint commuting differential operators of rank 2 and their deformations given by soliton equations
Cites Work
- Rational solutions for the equation of commutation of differential operators
- Spectral theory of commuting operators of rank two with periodic coefficients
- Fractional powers of operators and Hamiltonian systems
- Holomorphic bundles over Riemann surfaces and the Kadomtsev-Petviashvili equation. I
- HOLOMORPHIC BUNDLES OVER ALGEBRAIC CURVES AND NON-LINEAR EQUATIONS
- Commuting flows and conservation laws for Lax equations
- Commutative rings of ordinary linear differential operators
- Sur les algèbres de Weyl
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
