6533b82cfe1ef96bd128ecf7

RESEARCH PRODUCT

Stable control of pulse speed in parametric three-wave solitons.

Matteo ConfortiFabio BaronioStefan WabnitzAntonio Degasperis

subject

Physics[PHYS.PHYS.PHYS-AO-PH]Physics [physics]/Physics [physics]/Atmospheric and Oceanic Physics [physics.ao-ph]Analytical expressionsWave packetMathematical analysisDispersion (waves); parameter estimation; quadratic programmingFOS: Physical sciencesGeneral Physics and Astronomy01 natural sciencesStability (probability)Physics - Plasma Physics010305 fluids & plasmasPulse (physics)Plasma Physics (physics.plasm-ph)Classical mechanics[ PHYS.PHYS.PHYS-AO-PH ] Physics [physics]/Physics [physics]/Atmospheric and Oceanic Physics [physics.ao-ph]Dispersion relation0103 physical sciencesDispersion (optics)Group velocity010306 general physicsOptics (physics.optics)Parametric statisticsPhysics - Optics

description

International audience; 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.

10.1103/physrevlett.97.093901https://pubmed.ncbi.nlm.nih.gov/17026362