The Linear KdV Equation with an Interface
- First Online:
- Cite this article as:
- Deconinck, B., Sheils, N.E. & Smith, D.A. Commun. Math. Phys. (2016) 347: 489. doi:10.1007/s00220-016-2690-z
- 84 Downloads
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.
|Funder Name||Grant Number||Funding Note|
|National Science Foundation (US)|