Publisher's Synopsis
Excerpt from Solitary Waves in Liquids Having Non-Constant Density
The main purpose of these papers is to discuss what are called solitary waves in gravitating incompressible liquids of non-constant density. These are steady two-dimensional flows with a free surface in a channel with a horizontal bottom which extends to infinity in both directions. The essential characteristic of such waves is that they have a single crest while the vertical displacement of the free surface tends to the equilibrium level at infinity. For liquids of constant density the problem has a lengthy history which will be outlined a little later in this introduction.
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