Nonlinear dispersive effects on the propagation of atmospheric internal waves are investigated. The finite amplitude buoyancy oscillation is analyzed to obtain an amplitude−dependent oscillation frequency. A nonlinear dispersion relation for finite−amplitude internal waves is derived. Its relation to the nonlinear buoyancy oscillation is discussed. The nonlinesr dispersion relation is then used to study the stability of finite−amplitude modulated internal wave trains. It is found that, for certain modulations, wave trains propagating in certain directions may become unstable. Subject Classification: 28.20.
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Cho et al. (1975) studied this question.