On the Cauchy Problem for the Korteweg-de Vries Equation with Steplike Finite-Gap Initial Data II. Perturbations with Finite Moments

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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26 pages

Scientific paper

10.1007/s11854-011-0024-

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 number of derivatives with finite moments.

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