Rank 2 commuting ordinary differential operators and Darboux conjugates of KdV

DOI10.1016/0893-9659(95)00088-8zbMath0839.47029OpenAlexW2093744438MaRDI QIDQ1908985

Yanyan Li

Publication date: 7 March 1996

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(95)00088-8

zbMATH Keywords

Bäcklund transformationsfactorizationsflagsKdV flowsecond-order Darboux transformationsDarboux conjugates of KdVLax-type operatorordinary differential operators of orders four and six with a singular elliptic spectrumsecond-order Schrödinger operator

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) General theory of ordinary differential operators (47E05)

Related Items

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 ⋮ Self-adjoint commuting ordinary differential operators ⋮ 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
• Commuting pairs of linear ordinary differential operators of orders four and six
• On a class of polynomials connected with the Korteweg-de Vries equation
• KP solutions generated from KdV by `rank' 2 transference
• The Painlevé property for partial differential equations
• On the quasi-Hamiltonian formalism of the KdV equation
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