Abstract
We employ the generic three-wave system, with the interaction between two components of the fundamental frequency (FF) wave and the second-harmonic (SH) wave, to consider the collisions of truncated Airy waves (TAWs) and three-wave solitons in a setting which is not available in other nonlinear systems. The advantage of this is that single-wave TAWs, carried by either one of the FF components, are not distorted by the nonlinearity and are stable, three-wave solitons being stable too in the same system. The collision between mutually symmetric TAWs, carried by the different FF components, transforms them into a set of solitons, the number of which decreases with the increase of the total power. The TAW absorbs an incident small-power soliton, and a high-power soliton absorbs the TAW. Between these limits, the collision with an incident soliton converts the TAW into two solitons, with a remnant of the TAW attached to one of them, or leads to the formation of a complex TAW-soliton bound state. At large velocities, the collisions become quasi-elastic.
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