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 / De Gasperis, Antonio; Conforti, M; Baronio, F; Wabnitz, S.. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 97:(2006), pp. 1-4. [10.1103/PhysRevLett.97.093901]

Stable control of pulse speed in parametric three-wave solitons

DE GASPERIS, Antonio;WABNITZ S.
2006

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.
2006
Dispersion (waves); parameter estimation; quadratic programming
01 Pubblicazione su rivista::01a Articolo in rivista
Stable control of pulse speed in parametric three-wave solitons / De Gasperis, Antonio; Conforti, M; Baronio, F; Wabnitz, S.. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 97:(2006), pp. 1-4. [10.1103/PhysRevLett.97.093901]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1214823
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