Abstract
A new approach to deriving trace-type formulas is given. In this way, a new representation for the densities of the first integrals of the Korteweg-de Vries equation are found in terms of spectral and scattering data of the associated Schrödinger operator. We also utilize our method to improve many already-known results on the KdV invariants and associated trace formulas.
Citation
Alexei Rybkin. "KdV invariants and Herglotz functions." Differential Integral Equations 14 (4) 493 - 512, 2001. https://doi.org/10.57262/die/1356123317
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