Abstract
It is demonstrated that optical solitons can propagate in a dispersive (or diffractive) medium with competing quadratic [i.e., χ(2)] and cubic [i.e., χ(3)] nonlinearities. Strong interplay between the nonlinearities leads to novel effects, in particular the following: (i) stable bright solitons can still exist in a self-defocusing (owing to cubic nonlinearity) medium supported by quadratic parametric interactions and (ii) χ(2) nonlinearity can lead to instabilities of χ(3) solitons.
© 1995 Optical Society of America
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