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- W1977902781 abstract "We study a certain family of Schrödinger operators whose eigenfunctions ϕ(χ, λ) satisfy a differential equation in the spectral parameter λ of the formB(λ,∂ λ)ϕ=Θ(x)ϕ. 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 ofbispectral potentials. This extends and complements a result of Duistermaat and Grünbaum concerning a similar property for the Adler and Moser potentials and the flows of the KdV hierarchy." @default.
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- W1977902781 date "1991-10-01" @default.
- W1977902781 modified "2023-09-23" @default.
- W1977902781 title "Differential equations in the spectral parameter, Darboux transformations and a hierarchy of master symmetries for KdV" @default.
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- W1977902781 doi "https://doi.org/10.1007/bf02101509" @default.
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