Light bullets in coupled nonlinear Schrdinger equations with variable coefficients and a trapping potential.
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abstract
We analyze three-dimensional (3D) vector solitary waves in a system of coupled nonlinear Schrdinger equations with spatially modulated diffraction and nonlinearity, under action of a composite self-consistent trapping potential. Exact vector solitary waves, or light bullets (LBs), are found using the self-similarity method. The stability of vortex 3D LB pairs is examined by direct numerical simulations; the results show that only low-order vortex soliton pairs with the mode parameter values n 1, l 1 and m = 0 can be supported by the spatially modulated interaction in the composite trap. Higher-order LBs are found unstable over prolonged distances.