It is shown that the simultaneous buildup of instability of the free s
urface of a solution of an inactive substance in relation to its conce
ntration and the Tonks-Frenkel instability, causes the branches of the
dispersion equation describing each of these instabilities separately
to close onto one another and form two new composite branches of unst
able liquid motion. One of these branches has growth rates exceeding t
hose made up of the initial instabilities separately. (C) 1997American
Institute of Physics. [S1063-7850(97)02208-8].