On the multi-symplectic structure of the Serre-Green-Naghdi equations

Marx Chhay, Denys Dutykh, Didier Clamond

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Abstract

In this short note, we present a multi-symplectic structure of the Serre-Green-Naghdi (SGN) equations modelling nonlinear long surface waves in shallow water. This multi-symplectic structure allow the use of efficient finite difference or pseudo-spectral numerical schemes preserving exactly the multi-symplectic form at the discrete level.

Original languageBritish English
Article number03LT01
JournalJournal of Physics A: Mathematical and Theoretical
Volume49
Issue number3
DOIs
StatePublished - 22 Jan 2016

Keywords

  • fully nonlinear long waves
  • Green-Naghdi model
  • multi-symplectic structure
  • Serre equations

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