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nlin.SI2009
On the Cauchy Problem for the Korteweg-de Vries Equation with Steplike Finite-Gap Initial Data II. Perturbations with Finite Moments
Iryna Egorova, Gerald Teschl
We solve the Cauchy problem for the Korteweg-de Vries equation with steplike quasi-periodic, finite-gap initial conditions under the assumption that the perturbations have a given…
nlin.SI2009★ 1 cited
A Paley-Wiener Theorem for Periodic Scattering with Applications to the Korteweg-de Vries Equation
Iryna Egorova, Gerald Teschl
Consider a one-dimensional Schroedinger operator which is a short range perturbation of a finite-gap operator. We give necessary and sufficient conditions on the left, right reflec…