We study a certain family of Schrodinger operators whose eigenfunctions phi(x, lambda) satisfy a differential equation in the spectral parameter lambda of the form B(lambda, partial derivative-lambda)phi = THETA(x)phi. We show that the flows of a hierarchy of master symmetries for KdV are tangent to the manifolds that compose the strata of this class of bispectral potentials. This extends and complements a result of Duistermaat and Grunbaum concerning a similar property for the Adler and Moser potentials and the flows of the KdV hierarchy

Zubelli, J., Magri, F. (1991). Differential equations in the spectral parameter, Darboux transformations and a hierarchy of master symmetries for KdV. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 141(2), 329-351 [10.1007/BF02101509].

Differential equations in the spectral parameter, Darboux transformations and a hierarchy of master symmetries for KdV

Magri, F
1991

Abstract

We study a certain family of Schrodinger operators whose eigenfunctions phi(x, lambda) satisfy a differential equation in the spectral parameter lambda of the form B(lambda, partial derivative-lambda)phi = THETA(x)phi. We show that the flows of a hierarchy of master symmetries for KdV are tangent to the manifolds that compose the strata of this class of bispectral potentials. This extends and complements a result of Duistermaat and Grunbaum concerning a similar property for the Adler and Moser potentials and the flows of the KdV hierarchy
Articolo in rivista - Articolo scientifico
Korteweg-de Vries equation; Schrödinger operators; flows; master symmetries; bispectral potentials
English
329
351
23
Zubelli, J., Magri, F. (1991). Differential equations in the spectral parameter, Darboux transformations and a hierarchy of master symmetries for KdV. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 141(2), 329-351 [10.1007/BF02101509].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/18500
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