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Overtaking collisions of solitons on superfluid 4He films.

The dynamics of solitons on saturated films of superfluid [sup 4]He is studied under the condition of an overtaking collision of the solitons. It is shown that under second order in the nonlinearity, the effect of the collision is elastic. An explicit expression for the solitary solution with appropriate correction for the amplitude dependence of wave speed is obtained.