Benjamin-Ono model of an internal wave under a flat surface

Alan Compelli, Rossen Ivanov

Research output: Contribution to journalArticlepeer-review

Abstract

A two-layer fluid system separated by a pycnocline in the form of an internal wave is considered. The lower layer is infinitely deep, with a higher density than the upper layer which is bounded above by a flat surface. The fluids are incompressible and inviscid. A Hamiltonian formulation for the dynamics in the presence of a depth-varying current is presented and it is shown that an appropriate scaling leads to the integrable Benjamin-Ono equation.

Original languageEnglish
Pages (from-to)4519-4532
Number of pages14
JournalDiscrete and Continuous Dynamical Systems- Series A
Volume39
Issue number8
DOIs
Publication statusPublished - Aug 2019

Keywords

  • Currents
  • Hamiltonian systems
  • Internal waves
  • Long waves
  • Nonlinear waves
  • Solitons

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