On the generation and the nonlinear dynamics of X-waves of the Schroedinger equation
arXiv:physics/0404022 · doi:10.1103/PhysRevE.70.046613
Abstract
The generation of finite energy packets of X-waves is analysed in normally dispersive cubic media by using an X-wave expansion. The 3D nonlinear Schroedinger model is reduced to a 1D 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.
arXiv comment18 pages, 6 figures, corrected version to be published in Physical Review E
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