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
N1 - Funding Information:
This work was supported in part by Institute of Information Technology Assessment, and by Korea Science and Engineering Foundation 97-0702-02-01-3. J.K. is supported by the Ministry of Information and Communication of Korea and is grateful to Dr. E.H. Lee for his encouragement.
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
U2 - 10.1016/S0375-9601(99)00713-6
DO - 10.1016/S0375-9601(99)00713-6
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 -