Integrable Hamiltonian systems and the Lax pair formalism

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dc.contributor.authorMenyuk, Curtis
dc.contributor.authorChen, H. H.
dc.contributor.authorLee, Y. C.
dc.date.accessioned2025-06-17T14:46:26Z
dc.date.available2025-06-17T14:46:26Z
dc.date.issued1982-12-01
dc.description.abstractThe Lax pair formalism for finite degree-of-freedom Hamiltonian systems is extended to include systems for which the eigenvalues of the 𝐿 operator are degenerate. This extension is applied to a system of restricted multiple three-wave interactions which describes the interaction of a single, low-frequency, internal ocean wave with higher-frequency external waves.
dc.description.sponsorshipThis work was supported by the NSF under Contract No Phy 80 14189 and the ONR under Contract No N0001477CO590
dc.description.urihttps://link.aps.org/doi/10.1103/PhysRevA.26.3731
dc.format.extent3 pages
dc.genrejournal articles
dc.identifierdoi:10.13016/m2uezs-puua
dc.identifier.citationMenyuk, C. R., H. H. Chen, and Y. C. Lee. "Integrable Hamiltonian Systems and the Lax Pair Formalism" Physical Review A 26, no. 6 (1 December 1982): 3731–33. https://doi.org/10.1103/PhysRevA.26.3731.
dc.identifier.urihttps://doi.org/10.1103/PhysRevA.26.3731
dc.identifier.urihttp://hdl.handle.net/11603/39039
dc.language.isoen_US
dc.publisherAPS
dc.relation.isAvailableAtThe University of Maryland, Baltimore County (UMBC)
dc.relation.ispartofUMBC Computer Science and Electrical Engineering Department
dc.rights©2025 American Physical Society
dc.subject Lax pair formalism
dc.subjectHamiltonian systems
dc.subjecteigenvalues of the L operator are degenerate
dc.subjectfinite degree-of-freedom
dc.subjectUMBC Optical Fiber Communications Laboratory
dc.subjectUMBC High Performance Computing Facility (HPCF)
dc.titleIntegrable Hamiltonian systems and the Lax pair formalism
dc.typeText
dcterms.creatorhttps://orcid.org/0000-0003-0269-8433

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