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Variational approach to pulse propagation in parametrically amplified optical systems

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Abstract

A variational method to study pulse propagation and soliton formation in dissipative, nonlinear, and dispersive optical systems with parametric amplification is presented. The method clearly shows the important role that the frequency chirp plays in determining the nonlinear pulse dynamics and it is able to predict the emergence of a Hopf instability for the phase-locked solitary pulses observed in numerical simulations.

© 1997 Optical Society of America

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