Abstract

Solitary waves can exist near linear resonances where the dispersion is strong and nonparabolic. These solitary waves form a two-parameter family; the velocity and the wave number are these parameters. We derive analytical solutions for both bright and dark solitary waves and show that these solutions are characterized by a chirp proportional to the peak power. Moreover, these solitary waves may even exist on a continuous-wave background. Domains of existence and stability are explicitly given, and the influence of weak absorption on the solitary-wave dynamics is discussed.

© 1997 Optical Society of America

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