I. V. Tanatarov, I. N. Adamenko, K. E. Nemchenko, A. F. G. Wyatt
We analyse the dispersion relation of ripplons, on the surface of superfluid helium, using the dispersive hydrodynamics approach and find a new ripplon branch. We obtain analytical equation for the dispersion relation and analytic expressions for the limiting cases. We discuss where ripplons can exist in the energy-wavenumber plane. A numerical solution for the ripplon dispersion curve is obtained in the allowed regions. The new ripplon branch is found at energies just below the instability point.
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http://arxiv.org/abs/1003.4709
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