On the Cauchy Problem for the Korteweg–de Vries Equation with Steplike Finite-gap Initial Data I. Schwartz-type Perturbations

نویسنده

  • IRYNA EGOROVA
چکیده

We solve the Cauchy problem for the Korteweg–de Vries equation with initial conditions which are steplike Schwartz-type perturbations of finitegap potentials under the assumption that the respective spectral bands either coincide or are disjoint.

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تاریخ انتشار 2009