Generation and nonlinear dynamics of X waves of the Schrödinger equation.
The generation of finite-energy packets of X waves is analyzed in normally dispersive cubic media by using an X-wave expansion. The three-dimensional nonlinear Schrödinger model is reduced to a one-dimensional equation with anomalous dispersion. Pulse splitting and beam replenishment as observed in experiments with water and Kerr media are explained in terms of a higher-order breathing soliton. The results presented also hold in periodic media and Bose-condensed gases.
Conti
Claudio
C
NOOEL, Nonlinear Optics and OptoElectronics Laboratory, National Institute for the Physics of Matter, INFM, University Roma Tre, Via della Vasca Navale 84, 00146 Rome, Italy. c.conti@ele.uniroma3.it