Self‐formation and evolution of singletons

New solutions for reaction‐diffusion equations, called singletons and polytons, are found to be of fundamental significance. They exhibit properties of self‐formation. In the presence of nonlinear saturation effects their evolutions in time have pronounced maxima. Information about details of an initial spatial distribution is found to be carried along in time with the dynamic process of forming a growing singleton and to be restored at a later stage.