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A multi-symplectic integration of the Ostrovsky equation

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Publication:2843175
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DOI10.14495/jsiaml.3.41zbMath1271.65148OpenAlexW2041592735MaRDI QIDQ2843175

Yuto Miyatake, Takayasu Matsuo, Takaharu Yaguchi

Publication date: 9 August 2013

Published in: JSIAM Letters (Search for Journal in Brave)

Full work available at URL: https://www.jstage.jst.go.jp/A_PRedirectJournalInit?sryCd=jsiaml&kijiCd=3_0_41&screenID=AF06S010&noVol=3&noIssue=0


zbMATH Keywords

numerical exampleCoriolis forcefinite difference discretizationgravity wavesOstrovsky equationstructure-preserving integrationmulti-symplecticityPreissmann box scheme


Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Gravitational waves (83C35) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)


Related Items (1)

Numerical integration of the Ostrovsky equation based on its geometric structures




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