THEORY OF STATIONARY SOLITARY WAVES GENERATED BY OPTICAL PARAMETRIC INTERACTIONS IN THE PRESENCE OF KERR-TYPE NONLINEARITIES AND DISSIPATIONS

We show analytically that inclusion of contributions from third-order nonlinearities in a theoretical model for optical parametric interacti ons derived from second-order nonlinearities makes possible the predic tion of various kinds of stationary solitary-wave solution. Specifical ly these waves consist of hyperbolic (bright and dark types), algebrai c (bright and dark types), and kink/antikink types. In the limit of va nishing third-order nonlinearities the first solitary-wave family (hyp erbolic type) is reduced to solitary waves already reported. Effects o f dissipations including one- and two-photon absorption are discussed as well. (C) 1995 Optical Society of America