Author(s)
R. Grimshaw
Abstract
Internal solitary waves are an ubiquitous feature of the coastal ocean and atmospheric
boundary layer.We will review the use of the variable coefficientKorteweg
de Vries equation, and the extended Korteweg de-Vries equation (that is, with an
extra cubic nonlinear term), to model these waves. We will describe both the adiabatic
theories for slowly-varying solitary waves, and the results from numerical
simulations. Particular emphasis will be placed on the consequences when the
coefficients of either of the nonlinear terms undergoes a sign change, which may
lead to a radical and non-adiabatic change of the wave- form.
1 Introduction
Solitary waves are finite-amplitude waves of permanent form which owe their
existence to a balance between nonlinear wave-steepening processes and linear
wave dispersion. Typically, they consist of a single isolated wave, whose speed
is an increasing function
Keywords
Related Book
Other papers in this volume
Warning (2)
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