Temporal solitary waves that are due to the mutual interaction of optical r
ectification and the electro-optic effect in the presence of a second-order
nonlinearity are studied. It is found that a two-parameter family of solit
ons exists. Analytical solutions are found for special cases. Numerical sol
iton solutions of the system of equations include single- and multiple-hump
solitary waves. (C) 2001 Optical Society of America.