Two-dimensional Airy waves and three-wave solitons in quadratic media

Abstract We address the dynamics of two-dimensional (2D) truncated Airy waves (TAWs) and three-component solitons in system two fundamental-frequency (FF) second-harmonic (SH) fields, coupled by quadratic ( χ ( 2 stretchy="false">) ) terms. The models second–harmonic-generating optical media atomic-molecular mixtures Bose–Einstein condensates. In addition to stable solitons, maintains truncated-Airy-waves states either one FF components, represented exact solutions, which are stable, unlike degenerate (two-component) system. It is also possible imprint vorticity onto 2D modes. By means systematic simulations, we examine interactions between TAWs originally carried different bending opposite directions, through SH field. interaction leads fusion input into a pair narrow solitons. This opposed what happens 1D system, where interacting Aity split large number carrying identical imprinted vorticities creates an additional while create set small-amplitude ‘debris’ output. Slowly moving colliding with heavy TAW bounce back, faster ones absorbed it, collisions quasi-elastic for fast Soliton-soliton lead merger single mode, or elastic passage, lower higher velocities, respectively.