Restricted multiple three-wave interactions: Painlevé analysis

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https://link.aps.org/doi/10.1103/PhysRevA.27.1597

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https://doi.org/10.1103/PhysRevA.27.1597
 http://hdl.handle.net/11603/39038

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UMBC Computer Science and Electrical Engineering Department

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Author/Creator ORCID

https://orcid.org/0000-0003-0269-8433

Date

1983-03-01

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journal articles
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Citation of Original Publication

Menyuk, C. R., H. H. Chen, and Y. C. Lee. "Restricted Multiple Three-Wave Interactions: Painlevé Analysis" Physical Review A 27, no. 3 (1 March 1983): 1597–1611. https://doi.org/10.1103/PhysRevA.27.1597.

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©2025 American Physical Society

Subjects

wave triads
multiple three-wave interactions
Painlevé analysis
UMBC Optical Fiber Communications Laboratory
UMBC High Performance Computing Facility (HPCF)

Abstract

Restricted multiple three-wave interactions, in which a set of wave triads interact through one shared wave, are discussed. The integrability of this system is explored through the use of Painlevé analysis. Numerical results in the special case where there are only two triads are also reported. The results are consistent with the Painlevé analysis.