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On the generation and the nonlinear dynamics of X-waves of the Schroedinger equation

Claudio Conti
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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.

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Claudio Conti. 2004-07-23. On the generation and the nonlinear dynamics of X-waves of the Schroedinger equation. https://doi.org/10.1103/physreve.70.046613

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