Stable control of pulse speed in parametric three-wave solitons

Year: 2006

Authors: Degasperis A., Conforti M., Baronio F., Wabnitz S.

Autors Affiliation: Dipartimento di Fisica, Istituto Nazionale di Fisica Nucleare, Università La Sapienza, 00185 Roma, Italy; Dipartimento di Elettronica per l\’Automazione, Università di Brescia, 25123 Brescia, Italy; Laboratoire de Physique, Université de Bourgogne, UMR CNRS 5027, 21078 Dijon, France

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.


Volume: 97 (9)      Pages from: 093901  to: 093901

KeyWords: Dispersion (waves); Parameter estimation; Quadratic programming; Resonators; Solitons; Velocity, Parametric solitons; Quadratic nonlinearity; Resonant interaction; Wave packets, Wave propagation
DOI: 10.1103/PhysRevLett.97.093901