The Linear KdV Equation with an Interface
Analysis of PDEs
2016-09-20 v2
Abstract
The interface problem for the linear Korteweg-de Vries (KdV) equation in one-dimensional piecewise homogeneous domains is examined by constructing an explicit solution in each domain. The location of the interface is known and a number of compatibility conditions at the boundary are imposed. We provide an explicit characterization of sufficient interface conditions for the construction of a solution using Fokas's Unified Transform Method. The problem and the method considered here extend that of earlier papers to problems with more than two spatial derivatives.
Cite
@article{arxiv.1508.03596,
title = {The Linear KdV Equation with an Interface},
author = {Bernard Deconinck and Natalie E. Sheils and David A. Smith},
journal= {arXiv preprint arXiv:1508.03596},
year = {2016}
}
Comments
23 pages, 8 figures