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

  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.},
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… 
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  • T. BenjaminJ. BonaJ. Mahony
  • Mathematics
    Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences
  • 1972
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