# The KdV Equation on the Half-Line: Time-Periodicity and Mass Transport

@article{Bona2019TheKE, title={The KdV Equation on the Half-Line: Time-Periodicity and Mass Transport}, author={Jerry L. Bona and Jonatan Lenells}, journal={SIAM J. Math. Anal.}, year={2019}, volume={52}, pages={1009-1039} }

The work presented here emanates from questions arising from experimental observations of the propagation of surface water waves. The experiments in question featured a periodically moving wavemaker located at one end of a flume that generated unidirectional waves of relatively small amplitude and long wavelength when compared with the undisturbed depth. It was observed that the wave profile at any point down the channel very quickly became periodic in time with the same period as that of the…

## One Citation

### The unified transform for evolution equations on the half‐line with time‐periodic boundary conditions *

- MathematicsStudies in Applied Mathematics
- 2021

This paper elaborates on a new approach for solving the generalized Dirichlet‐to‐Neumann map, in the large time limit, for linear evolution PDEs formulated on the half‐line with time‐periodic…

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