Abstract

The analytical form of coupled temporal solitons in waveguides with second- and third-order nonlinearities is presented. The solutions are obtained for group-velocity dispersions of the same sign for both fundamental and second-harmonic frequencies. In particular, three types of coupled soliton are found: bright solitons, which can exist in materials with second- or third-order nonlinearities; semidark (twin-hole) solitons, which require materials with second-order nonlinearity; and gray coupled solitons existing only in materials with both nonvanishing nonlinearities.

© 1995 Optical Society of America

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