From giant ocean solitons to cellular ionic nano-solitons

Abstract

It is well known that soliton bearing nonlinear differential equations show up in many areas of physics when waves can propagate in a weakly nonlinear and dispersive media. Here we will show the surprising analogy between the single hump solitary waves appearing in long wave regimes in relatively shallow water and mathematically quite similar description of nano-solitons of ionic waves pr-opagating along microtubules in living cells.