### Abstract

Integrable higher-order generalizations of the nonlinear Schrödinger equation that describes the propagation of multi-mode optical pulses in a fiber are presented. We construct the coupled higher-order nonlinear Schrödinger equation (CHONSE) in association with each Hermitian symmetric spaces and demonstrate its integrability by deriving the Lax pair. We show that two distinct types of higher-order generalizations are possible, which we call as the 'type-I' and the 'type-II' CHONSE. The type-I and the type-II CHONSE generalize the Hirota and the Sasa-Satsuma equations respectively and it is shown that the type-II CHONSE can be obtained via a consistent reduction of the type-I CHONSE based on the AIII symmetric spaces.

Original language | English |
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Pages (from-to) | 91-97 |

Number of pages | 7 |

Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |

Volume | 263 |

Issue number | 1-2 |

Publication status | Published - 1999 Nov 22 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Physics Letters, Section A: General, Atomic and Solid State Physics*,

*263*(1-2), 91-97.