Stability of two- and three-dimensional optical solitons in a media with quadratic nonlinearity
Turitsyn S. K.
It is demonstrated that solitons existing due to mutual trapping of the fundamental and second-harmonic waves in a dispersive medium with a cascaded second-order nonlinearity are stable. It is proved that soli-tons realize the minimum of the Hamiltonian for the fixed Manly-Row integral. © 1995 American Institute of Physics.