Integrable Hamiltonian systems and the Lax pair formalism

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https://link.aps.org/doi/10.1103/PhysRevA.26.3731

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https://doi.org/10.1103/PhysRevA.26.3731
 http://hdl.handle.net/11603/39039

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UMBC Computer Science and Electrical Engineering Department

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

Date

1982-12-01

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journal articles
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Citation of Original Publication

Menyuk, C. R., H. H. Chen, and Y. C. Lee. "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.

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©2025 American Physical Society

Subjects

 Lax pair formalism
Hamiltonian systems
eigenvalues of the L operator are degenerate
finite degree-of-freedom
UMBC Optical Fiber Communications Laboratory
UMBC High Performance Computing Facility (HPCF)

Abstract

The 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.