Drinfeld–Sokolov–Wilson equation explained

The Drinfeld–Sokolov–Wilson (DSW) equations are an integrable system of two coupled nonlinear partial differential equations proposed by Vladimir Drinfeld and Vladimir Sokolov, and independently by George Wilson:

\begin{align} & (\partial u)/(+3 v \partial t) (\partial v)/(=0 \\[ 5 pt] & \partial x) (\partial v)/(=2 \partial t) (\partial ^{3} v)/(+ \partial x ^{3}) (\partial u)/(\partial x) v +2 u (\partial v)/(\partial x) \end{align}