The dynamics of saturated two-dimensional superfluid4He films is shown to be governed by the Kadomtsev-Petviashvili equation with negative dispersion. It is established that the phenomena of soliton resonance could be observed in such films. Under the lowest order nonlinearity, such resonance would happen only if two dimensional effects are taken into account. The amplitude and velocity of the resonant soliton are obtained.
J. Sreekumar and Dr. V . M. Nandakumaran, “Solitons and their resonances on two-dimensional superfluid films”, Pramana, vol. 33, pp. 697–704, 1989.