Abstract
The interaction of dark solitons under competing cubic nonlinearities is investigated with an arbitrary degree of nonlocality. Employing the approximately variational technique, the analytical relations for the interaction of dark solitons is obtained in the whole range of degree of nonlocality. It is shown that the competing self-focusing nonlinearity enhances the repulsive force of the interaction, whereas, the competing self-defocusing nonlinearity strengthens the attractive force of the interaction. All the analytically theoretical results have also been demonstrated by direct numerical simulations with split step Fourier transform.
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