View source for Drinfeld–Sokolov–Wilson equation

The '''Drinfeld–Sokolov–Wilson (DSW) equations''' are an [[integrable system]] of two coupled [[nonlinear]] [[partial differential equation]]s proposed by [[Vladimir Drinfeld]] and Vladimir Sokolov, and independently by George Wilson:<ref>{{MathWorld |id=Drinfeld-Sokolov-WilsonEquation |title=Drinfeld–Sokolov–Wilson Equation |author=[[Eric W. Weisstein|Weisstein, Eric W.]]}}</ref>

: <math>
\begin{align}
&\frac{\partial u}{\partial t}+3v\frac{\partial v}{\partial x}=0\\[5pt]
&\frac{\partial v}{\partial t}=2\frac{\partial^3 v}{\partial x^3}+\frac{\partial u}{\partial x} v+2u \frac{\partial v}{\partial x}
\end{align}
</math>

==References==
{{reflist}}

{{DEFAULTSORT:Drinfeld-Sokolov-Wilson equation}}
[[Category:Nonlinear partial differential equations]]
[[Category:Integrable systems]]


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