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 |
| DOIs | |
| Publication status | Published - 1999 Nov 22 |
| Externally published | Yes |
ASJC Scopus subject areas
- Physics and Astronomy(all)
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Park, Q. H., Shin, H. J., & Kim, J. (1999). Integrable coupling of optical waves in higher-order nonlinear Schrödinger equations. Physics Letters, Section A: General, Atomic and Solid State Physics, 263(1-2), 91-97. https://doi.org/10.1016/S0375-9601(99)00713-6