SINGULARITIES IN SOLUTIONS OF BURGERS-EQUATION

The possibility of singularities arising in Burgers' equation is discu ssed and some arguments are put forward in favour of the suggestion th at non-singular initial conditions cannot produce the singularity in t he process of time evolution in real time. However, consideration of c omplex time supplies us with examples of the appearance of singulariti es. The broad class of exactly integrable initial conditions for Burge rs' equation is presented. (C) 1997 Elsevier Science B.V.