On the influence of density on the wave propagation in fluids
Keywords:wave propagation, fluids, exponential/cosine stratification, solitons
In this paper we investigate the influence of the density on the propagation of waves in fluids with exponential and cosine stratification, respectively. We show that the waves are pairs of solitons, each pair consisting of two opposite directions propagating waves of the same mode. The modes of the two pairs are different from each other, and are different from the m-th and n-th modes. The original waves propagate after interaction without changing their identities, but only the m-wave suffers a shift of phase.
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