On the Cauchy Problem for the Korteweg-de Vries Equation with Steplike Finite-Gap Initial Data I. Schwartz-Type Perturbations
Exactly Solvable and Integrable Systems
2009-09-09 v2 Mathematical Physics
Analysis of PDEs
math.MP
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.
Keywords
Cite
@article{arxiv.0812.4003,
title = {On the Cauchy Problem for the Korteweg-de Vries Equation with Steplike Finite-Gap Initial Data I. Schwartz-Type Perturbations},
author = {Iryna Egorova and Katrin Grunert and Gerald Teschl},
journal= {arXiv preprint arXiv:0812.4003},
year = {2009}
}
Comments
29 pages