Loewner evolution and finite dimensional reductions of integrable   systems
  The Loewner equation is known as a one-dimensional reduction of the Benney chain as well as the dispersionless KP hierarchy. We propose a reverse process showing that time splitting in the Loewner or the Loewner-Kufarev equation leads to some known integrable systems. 
Maxim V. Pavlov, Dmitri Prokhorov, Alexander Vasil'ev, and Andrey   Zakharov
math-ph math.CV math.MP nlin.SI