Rhj. Grimshaw et Kr. Helfrich, SOLITARY WAVES ON 2-DIMENSIONAL SLAB CONDUITS OF BUOYANT FLUID IN A MORE VISCOUS-FLUID, Geophysical and astrophysical fluid dynamics, 79(1-4), 1995, pp. 223-238
There has been some interest recently in the dynamics of buoyant low v
iscosity conduits in surrounding more viscous fluids, motivated by app
lications to geophysical phenomena. Most studies have been concerned w
ith axisymmetric cylindrical conduits, and have shown that these condu
its can support robust solitary waves. Here we develop the wave evolut
ion equation for the analogous two-dimensional slab conduit, and show
that this case also supports solitary waves, which are apparently stab
le and can effectively survive collisions.