Abstract

We study the nonlinear interaction of two or more fundamental and higher-order similaritons. In particular, we consider the bright similaritons, propagating in nonlinear fibers whose gain–loss and anomalous dispersion vary along the fiber. We first focus on the situation such that the similaritons propagate with the same velocity but are spaced closely enough to overlap. Similar to the soliton case, the similariton interaction occurs through cross-phase modulation; the similaritons attract or repel each other depending on their relative phase difference. The main difference from the soliton case is that the similariton width, chirp, and the amplitude scale upon the interaction and the subsequent propagation along the fiber. We have found evidence of a substantial energy transfer between two similaritons when their relative phase lies between 0 and π. We also consider the case of three higher-order similaritons moving with different velocities and colliding inside the fiber. We show that the nonlinear interaction of closely spaced similaritons exhibits a variety of interesting features that are different from those typical of the soliton case.

© 2008 Optical Society of America

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