Collisions between discrete spatiotemporal Ginzburg-Landau solitons |
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| Authors: | D Mihalache D Mazilu and F Lederer |
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| Institution: | 1.Horia Hulubei National Institute for Physics and Nuclear Engineering (IFIN-HH),Magurele-Bucharest,Romania;2.Institute of Solid State Theory and Theoretical Optics, Friedrich-Schiller Universit?t Jena,Jena,Germany |
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| Abstract: | We report systematic results of collisions between discrete spatiotemporal Ginzburg-Landau solitons in waveguide arrays. Depending
on the value of the kick parameter (collision momentum), four generic outcomes are identified in the case of collision of
two identical solitons located at equal distances from the edge of the waveguide array: (a) merger of the solitons into a
single one, at small values of the kick parameter, (b) creation of an extra soliton at intermediate values of the collision
momentum, (c) quasi-elastic interactions at both intermediate values of the kick parameter (for relatively small values of
the cubic gain) and at large values of the kick parameter (for relatively high values of cubic gain), and (d) soliton spreading
at relatively large values of the collision momentum but only in the case of relatively small values of the cubic gain. In
the case of collision of two non-identical solitons located at different distances from the edge of the waveguide array four
generic outcomes were identified too: (e) soliton bouncing, accompanied by a sharp modification of soliton velocities during
the interaction process, for relatively small values of the collision momentum, (f) soliton creation at intermediate values
of the kick parameter and for relatively low values of the cubic gain, (g) soliton spreading (in time) at intermediate values
of the collision momentum and for relatively high values of the cubic gain, and (h) quasi-elastic interactions at large values
of the the kick parameter. |
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