Langmuir wave filamentation in the kinetic regime. II. Weak and Strong   Pumping of Nonlinear Electron Plasma Waves as the Route to Filamentation
  We consider two kinds of pumped Langmuir waves (LWs) in the kinetic regime, $k\lambda_D\gtrsim0.2,$ where $k$ is the LW wavenumber and $\lambda_D$ is the Debye length. They are driven to finite amplitude by a coherent external potential whose amplitude is either weak or strong. These dynamically prepared nonlinear LWs develop a transverse (filamentation) instability whose nonlinear evolution destroys the LW's transverse coherence. Instability growth rates in the weakly pumped regime are the same as those of BGK modes considered in Part I, while strongly pumped LWs have higher filamentation grow rates. 
Denis A. Silantyev, Pavel M. Lushnikov and Harvey A. Rose
physics.plasm-ph nlin.PS