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Coupled solitary waves in optics literature, are coined vector solitons toreflect their particle--like nature that remains intact even after mutualcollisions. They are born from a nonlinear change in the refractive index of anoptical material induced by the light intensity. We've discovered that thesecond harmonic intensity profile generated by Bessel like beams, is composedof solitons of various geometries surrounded by concentric rings; one of whichis two central solitons of similar radius knotted by ellipsoidal concentricrings. We observe that their geometry and intensity distribution is dependenton the topological charge of the fundamental Bessel beams incident on thenonlinear medium. We show that their spatial profile is invariant againstpropagation. We observe that their behavior is similar to that of screwdislocations in wave trains: they collide and rebound at a $90^\circ$ anglefrom the beam propagation direction. In this way, we have generated linkedfrequency doubled Bessel-type vector solitons with a with different topologies,that are knotted as they oscillate along the optical axis, when propagating inthe laboratory environment.

On the Generation of Topological Vector Solitons from Bessel Like Beams