Dodd–Bullough–Mikhailov equation

The Dodd–Bullough–Mikhailov equation is a nonlinear partial differential equation introduced by Roger Dodd, Robin Bullough, and Alexander Mikhailov.

${\displaystyle u_{xt}+\alpha *e^{u}+\gamma *e^{-2*u}=0.}$

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.