On the Cauchy Problem for the Korteweg–de Vries Equation with Steplike Finite-gap Initial Data I. Schwartz-type Perturbations
نویسنده
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.
منابع مشابه
On the Cauchy Problem for the Korteweg–de Vries Equation with Steplike Finite-gap Initial Data I. Schwarz-type Perturbations
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 mutual spectral bands either coincide or are disjoint.
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