Nonlinear waves on a coupled density front

Nathan Paldor*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

It is shown that the inclusion of the nonlinear terms in the equations of motion of a coupled density front of zero potential vorticity results in wave solutions which merely propagate with time. The linear theory, on the other hand, predicts an exponential temporal growth. The nonlinear equation admits steady solutions representing standing waves whereas if the nonlinear terms are omitted no steady solutions exist. The general initial value problem is difficult to solve numerically since the linear problem is ill posed. In addition we prove that the general similarity solution of the nonlinear equation tends to zero for large times, at any point in space, regardless of the initial condition.

Original languageEnglish
Pages (from-to)171-191
Number of pages21
JournalGeophysical and Astrophysical Fluid Dynamics
Volume37
Issue number3
DOIs
StatePublished - Dec 1986
Externally publishedYes

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