We analyze the control of the propagation speed of three wave packets interacting in a medium with quadratic nonlinearity and dispersion. We find analytical expressions for mutually trapped pulses with a common velocity in the form of a three-parameter family of solutions of the three-wave resonant interaction. The stability of these novel parametric solitons is simply related to the value of their common group velocity.

Stable Control of Pulse Speed in Parametric Three-Wave Solitons

CONFORTI, Matteo;BARONIO, Fabio;WABNITZ, Stefan
2006-01-01

Abstract

We analyze the control of the propagation speed of three wave packets interacting in a medium with quadratic nonlinearity and dispersion. We find analytical expressions for mutually trapped pulses with a common velocity in the form of a three-parameter family of solutions of the three-wave resonant interaction. The stability of these novel parametric solitons is simply related to the value of their common group velocity.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11379/23285
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