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arXiv · 0812.4003

On the Cauchy Problem for the Korteweg-de Vries Equation with Steplike Finite-Gap Initial Data I. Schwartz-Type Perturbations

Iryna Egorova·Katrin Grunert·Gerald Teschl
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Abstract

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

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Iryna Egorova, Katrin Grunert, Gerald Teschl. 2009-05-12. On the Cauchy Problem for the Korteweg-de Vries Equation with Steplike Finite-Gap Initial Data I. Schwartz-Type Perturbations. https://doi.org/10.1088/0951-7715%2F22%2F6%2F009

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