On the Cauchy Problem for the modified Korteweg-de Vries Equation with Steplike Finite-Gap Initial Data

Abstract

We solve the Cauchy problem for the modified Korteweg--de Vries equation with steplike quasi-periodic, finite-gap initial conditions under the assumption that the perturbations have a given number of derivatives and moments finite.

8 pages

References in corpus (1)

• Inverse Scattering Theory for One-Dimensional Schroedinger Operators with Steplike Periodic Potentials

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