Menyuk, CurtisChen, Hsing-Hen2025-06-172025-06-171986-04-01Menyuk, Curtis R., and Hsing-Hen Chen. "On the Hamiltonian Structure of Ion-acoustic Plasma Waves and Water Waves in Channels" The Physics of Fluids 29, no. 4 (1 April 1986): 998–1003. https://doi.org/10.1063/1.865696.https://doi.org/10.1063/1.865696http://hdl.handle.net/11603/39035It is shown that the Hamiltonian structure of ion-acoustic waves and channel waves may be used to derive the Hamiltonian structure of the Korteweg–de Vries equation and its higher-order corrections. The Hamiltonian approach used here is more systematic and less laborious than standard methods for deriving the Korteweg–de Vries equation. It is also more revealing. In particular, it is shown that the Poisson bracket of the corrected equations equals the Korteweg–de Vries Poisson bracket at every order. It is also shown that the corrected equations become nonlocal at sufficiently high order.8 pagesen-USThis article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in Menyuk, Curtis R., and Hsing-Hen Chen. "On the Hamiltonian Structure of Ion-acoustic Plasma Waves and Water Waves in Channels" The Physics of Fluids 29, no. 4 (1 April 1986): 998–1003. https://doi.org/10.1063/1.865696 and may be found at https://pubs.aip.org/aip/pfl/article-abstract/29/4/998/819137/On-the-Hamiltonian-structure-of-ion-acoustic?redirectedFrom=fulltext.Korteweg-de Vries equationAcousticsPlasma wavesHamiltonian mechanicsUMBC Optical Fiber Communications LaboratoryUMBC High Performance Computing Facility (HPCF)Text