Nonlinear Profile Decomposition and the Concentration Phenomenon for   Supercritical Generalized KdV Equations
  A nonlinear profile decomposition is established for solutions of supercritical generalized Korteweg-de Vries equations. As a consequence, we obtain a concentration result for finite time blow-up solutions that are of Type II. 
Luiz Gustavo Farah and Brian Pigott
math.AP