Abstract

As is known, optical cascaded nonlinearities due to parametric wave mixing can lead to a large nonlinear phase shift and spatial solitary waves, resembling those for a Kerr medium [1]. However, solitary waves supported by cascaded nonlinearities demonstrate much richer dynamics due to nonintegrability of governing nonlinear equations and, unlike solitons of the Kerr nonlinearity, the quadratic solitons can become unstable in a certain parameter region [2].

© 1999 Optical Society of America