### Abstract

Self-similar optical pulses (or “similaritons”) of parabolic intensity profile can be found as asymptotic solutions of the nonlinear Schr¨odinger equation in a gain medium such as a fiber amplifier or laser resonator. These solutions represent a wide-ranging significance example of dissipative nonlinear structures in optics.

Here, we address some issues related to the formation and evolution of parabolic pulses in a fiber gain medium by means of semi-analytic approaches. In particular, the effect of the third-order dispersion on the structure of the asymptotic solution is examined. Our analysis is based on the resolution of ordinary differential equations, which enable us to describe the main properties of the pulse propagation and structural characteristics observable through direct numerical simulations of the basic partial differential equation model with sufficient accuracy.

Here, we address some issues related to the formation and evolution of parabolic pulses in a fiber gain medium by means of semi-analytic approaches. In particular, the effect of the third-order dispersion on the structure of the asymptotic solution is examined. Our analysis is based on the resolution of ordinary differential equations, which enable us to describe the main properties of the pulse propagation and structural characteristics observable through direct numerical simulations of the basic partial differential equation model with sufficient accuracy.

Original language | English |
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Pages | 4 |

Number of pages | 1 |

Publication status | Published - Jun 2006 |

Event | 4th Workshop on Nonlinear Physics: Theory and Experiment IV - Baia Verde, Italy Duration: 22 Jun 2006 → 1 Jul 2006 |

### Conference

Conference | 4th Workshop on Nonlinear Physics: Theory and Experiment IV |
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Country | Italy |

City | Baia Verde |

Period | 22/06/06 → 1/07/06 |

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## Cite this

Boscolo, S., & Turitsyn, S. K. (2006).

*On the theory of self-similar parabolic optical pulses*. 4. Abstract from 4th Workshop on Nonlinear Physics: Theory and Experiment IV, Baia Verde, Italy.