title: Calogero–Degasperis–Fokas equation
text: # Calogero–Degasperis–Fokas equation
  
  In mathematics, the Calogero–Degasperis–Fokas equation is the nonlinear partial differential equation
  
      $\displaystyle u_{t}=u_{xxx}-{\frac {1}{8}}u_{x}^{3}+u_{x}\left(Ae^{u}+Be^{-u}\right).$
  
  This equation was named after F. Calogero, A. Degasperis, and A. Fokas.
  
  