Long internal waves of finite amplitude

Wooyoung Choi, Roberto Camassa

Research output: Contribution to journalArticlepeer-review

31 Scopus citations

Abstract

We derive new nonlinear evolution equations for long internal waves in a two-fluid system, when the thickness of the lower layer is effectively infinite, by making the only assumption that the thickness of the upper layer is small compared with the characteristic wavelength. The resulting equations have the full nonlinearity of the original problem and retain the leading-order dispersive effects. For large amplitude internal solitary waves, we show that our model captures the scaling relation between the amplitude and the characteristic wavelength observed experimentally by Koop and Butler.

Original languageEnglish (US)
Pages (from-to)1759-1762
Number of pages4
JournalPhysical Review Letters
Volume77
Issue number9
DOIs
StatePublished - 1996
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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