### 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.

**Integrable coupling of optical waves in higher-order nonlinear Schrödinger equations.** / Park, Q Han; Shin, H. J.; Kim, Jongbae.

Research output: Contribution to journal › Article

*Physics Letters, Section A: General, Atomic and Solid State Physics*, vol. 263, no. 1-2, pp. 91-97.

}

TY - JOUR

T1 - Integrable coupling of optical waves in higher-order nonlinear Schrödinger equations

AU - Park, Q Han

AU - Shin, H. J.

AU - Kim, Jongbae

PY - 1999/11/22

Y1 - 1999/11/22

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0346615670&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0346615670&partnerID=8YFLogxK

M3 - Article

VL - 263

SP - 91

EP - 97

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 1-2

ER -