Propagation and stability of novel parametric solitons

Year: 2007

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

Autors Affiliation: Dipartimento di Fisica, Istituto Nazionale di Fisica Nucleare, Universita La Sapienza, P.le A. Moro 2, 00185 Roma, Italy; Dipartimento di Elettronica per l\’Automazione, Universita di Brescia, Via Branze 38, 25123 Brescia, Italy; Laboratoire de Physique, Universitè de Bourgogne, UMR CNRS 5027, 9 Av. A. Savary, 21078 Dijon, France

Abstract: We present a new multi-parameter family of analytical soliton solutions for nonlinear three-wave resonant interactions. We show the amplitude, phase-front shapes and general properties of the solitons. The stability of these novel parametric solitons is simply related to the value of their common group velocity.

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KeyWords: Amplitude modulation; Nonlinear analysis; Parameter estimation; Solitons; Velocity measurement, Parametric solitons; Three-wave interactions; Wave resonant interactions, Wave propagation
DOI: 10.1117/12.740157