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We put forward a scheme for tailoring the optical response of a four-level coherent media allowing the realization of competing giant nonlinearities of cubic-quintic type, with focusing and defocusing behavior for low and large field amplitudes, respectively. Numerical simulations of the beams propagation through tailored media show evidence of two-dimensional optical solitons with liquid-light dynamics, which can be observed in the frame of current experiments.
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Alexandrescu et al. (2009) studied this question.
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