title: Dodd–Bullough–Mikhailov equation
text: # Dodd–Bullough–Mikhailov equation
  
  The Dodd–Bullough–Mikhailov equation is a nonlinear partial differential equation introduced by Roger Dodd, Robin Bullough, and Alexander Mikhailov.
  
      $u_{xt}+\alpha *e^{u}+\gamma *e^{-2*u}=0.$
  
  In 2005, mathematician Abdul-Majid Wazwaz combined the Tzitzeica equation with Dodd–Bullough–Mikhailov equation into the Tzitz´eica–Dodd–Bullough–Mikhailov equation.
  
  The Dodd–Bullough–Mikhailov equation has traveling wave solutions.
  
  