Article ID Journal Published Year Pages File Type
8256279 Physica D: Nonlinear Phenomena 2018 24 Pages PDF
Abstract
We show that the Cauchy problem for the KdV equation can be solved by the inverse scattering transform (IST) for any initial data bounded from below, decaying sufficiently rapidly at +∞, but unrestricted otherwise. Thus our approach does not require any boundary condition at −∞.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
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