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 |
|---|---|
| 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)
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Integrable coupling of optical waves in higher-order nonlinear Schrödinger equations. / Park, Q Han; Shin, H. J.; Kim, Jongbae.
In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 263, No. 1-2, 22.11.1999, p. 91-97.Research output: Contribution to journal › Article
}
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.
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UR - http://www.scopus.com/inward/citedby.url?scp=0346615670&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:0346615670
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 -