Menyuk, CurtisChen, Hsing-hen2025-06-172025-06-171985-10-28Menyuk, Curtis R., and Hsing-hen Chen. "Hamiltonian Structure of the Higher-Order Corrections to the Korteweg-de Vries Equation". Physical Review Letters 55, no. 18 (28 October 1985): 1809–11. https://doi.org/10.1103/PhysRevLett.55.1809.https://doi.org/10.1103/PhysRevLett.55.1809http://hdl.handle.net/11603/39037Higher-order corrections to the Korteweg-de Vries equation are examined by Hamiltonian methods. Starting from the underlying Hamiltonian systems (e.g., the two-fluid equations in the case of ion-acoustic waves), one finds that the corrected equations have the same Poisson bracket as the Korteweg-de Vries equation at every order. One also finds that the underlying equations become nonlocal at sufficiently high order.3 pagesen-US©2025 American Physical SocietyHamiltonian methodsPoisson bracketUMBC Optical Fiber Communications LaboratoryUMBC High Performance Computing Facility (HPCF)Higher-order correctionsKorteweg-de Vries equationcorrected equationsText