Collision dynamics of elliptically polarized solitons in Coupled Nonlinear Schrödinger Equations

We investigate numerically the collision dynamics of elliptically polarized solitons of the System of Coupled Nonlinear chrödinger Equations (SCNLSE) for various different initial polarizations and phases. General initial elliptic polarizations (not ech-shape) include as particular cases the circular and linear polarizations. The elliptically polarized solitons are computed by separate numerical algorithm. We find that, depending on the initial phases of the solitons, the polarizations of the system of olitons after the collision change, even for trivial cross-modulation. This sets the limits of practical validity of the celebrated anakov solution. For general nontrivial cross-modulation, a jump in the polarization angles of the solitons takes place after the ollision (‘polarization shock’). We study in detail the effect of the initial phases of the solitons and uncover different scenarios f the quasi-particle behavior of the solution. In majority of cases the solitons survive the interaction preserving approximately heir phase speeds and the main effect is the change of polarization. However, in some intervals for the initial phase difference, the nteraction is ostensibly inelastic: either one of the solitons virtually disappears, or additional solitons are born after the interaction. his outlines the role of the phase, which has not been extensively investigated in the literature until now. 2010 IMACS. Published by Elsevier B.V. All rights reserved.