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.
Original language | English (US) |
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Pages (from-to) | 489-509 |
Number of pages | 21 |
Journal | Communications in Mathematical Physics |
Volume | 347 |
Issue number | 2 |
DOIs | |
State | Published - Oct 1 2016 |
Bibliographical note
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