Work

Multi-symplectic structure of fully nonlinear weakly dispersive internal gravity waves

Year: 2016

Type: article

Abstract: In this short communication, we present the multi-symplectic structure for the two-layer Serre–Green–Naghdi equations describing the evolution of large amplitude internal gravity water waves when both layers are shallow. We consider only a two-layer stratification with rigid bottom and lid for simplicity, generalisations to several layers being conceivable. This multi-symplectic formulation allows the application of various multi-symplectic integrators (such as Euler or Preissman box schemes) that preserve exactly the multi-symplecticity at the discrete level.

Source: Journal of Physics A Mathematical and Theoretical

DOI: 10.1088/1751-8113/49/31/31lt01

Authors: Didier Clamond, Denys Dutykh

Institutions: Centre National de la Recherche Scientifique, Laboratoire Jean-Alexandre Dieudonné, Université Nice Sophia Antipolis, Institut National des Sciences Mathématiques et de leurs Interactions, Le LAMA, Université Savoie Mont Blanc

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2329005305

FWCI: 0.379

Cites: 22

Cited by: 3

Related to: 10