## Özet

A similar type of nonlocal nonlinear Schrödinger (NLS) system arises in both water waves and nonlinear optics. The nonlocality is due to a coupling between the first harmonic and a mean term. These systems are termed nonlinear Schrödinger with mean or NLSM systems. They were first derived in water waves byBenney-Roskes and later by Davey-Stewartson. Subsequently similar equations were derived and found to be fundamental systems in quadratically nonlinear optical media. Wave collapse can occur in these systems. The collapse structure and the role of the ground state in the collapse process are studied. There are similarities to the well-known collapse mechanism associated with classical NLS system. Numerical simulations show that NLSM collapse occurs with aquasi self-similar profile that is a modulation of the corresponding ground-state. Further, it is found that NLSM collapse can be arrested by adding small nonlinear saturation.

Orijinal dil | İngilizce |
---|---|

Sayfa (başlangıç-bitiş) | 343-362 |

Sayfa sayısı | 20 |

Dergi | European Physical Journal: Special Topics |

Hacim | 147 |

Basın numarası | 1 |

DOI'lar | |

Yayın durumu | Yayınlandı - Ağu 2007 |

### Finansman

This research was partially supported by the U.S. Air Force Office of Scientific Research, under grant FA4955-06-1-0237 and by the National Science Foundation, under grants DMS-0303756, DMS-0602151.

Finansörler | Finansör numarası |
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National Science Foundation | DMS-0303756, DMS-0602151 |

Air Force Office of Scientific Research | FA4955-06-1-0237 |