TEMPORAL SOLITARY WAVES NEAR LINEAR RESONANCES

Solitary waves can exist near linear resonances where the dispersion i s strong and nonparabolic. These solitary waves form a two-parameter f amily; the velocity and the wave number are these parameters. We deriv e analytical solutions for both bright and dark solitary waves and sho w that these solutions are characterized by a chirp proportional to th e peak power. Moreover, these solitary waves may even exist on a conti nuous-wave background. Domains of existence and stability are explicit ly given, and the influence of weak absorption on the solitary-wave dy namics is discussed. (C) 1997 Optical Society of America.