Whitham deformations partially saturating the modulational instability   in the nonlinear Schrodinger equation
  In the framework of Gurevich and Pitaevskii approach [1] we construct modulated by Whitham [2] solution of nonlinear Shrodinger (NS) equation partially saturating the modulational instability. This solution describes new scenario of monochromatic wave evolution in NS equation which leads to generation of new phase and oscillation region. 
Ramil' F. Bikbaev, Vadim R. Kudashev (Institute of Mathematics,   Chernyshevskii, Ufa, Russia)