Generation and nonlinear dynamics of X waves of the Schrödinger equation

2004/04/30 by Claudio Conti
Physics and Astronomy · #Advanced Fiber Laser Technologies #Nonlinear Photonic Systems #Orbital Angular Momentum in Optics #physics.gen-ph #physics.optics

paper · pdf · doi:10.1103/physreve.70.046613

published as Physical Review E 70, 046613 (2004) · 18 pages, 6 figures, corrected version to be published in Physical Review E

arxiv created 2004/07/23 · openalex publication_date 2004/10/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

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.

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