Evolution equations: Frobenius integrability, conservation laws and   travelling waves
  We give new results concerning the Frobenius integrability and solution of evolution equations admitting travelling wave solutions. In particular, we give a powerful result which explains the extraordinary integrability of some of these equations. We also discuss "local" conservations laws for evolution equations in general and demonstrate all the results for the Korteweg de Vries equation. 
Geoff Prince and Naghmana Tehseen
math.AP math-ph math.DG math.MP