Steady state solutions to the conserved Kuramoto–Sivashinsky equation

We study stationary solutions to the conserved Kuramoto–Sivashinsky equation t h+ y 2 f 48(f+12)h+ y 2 h+f 12( y h) 2 =0.$ \partial _th+\partial ^2_{y}\left( \frac{f\alpha }{48}(f\alpha +12\delta )h+\partial ^2_{y}h+\frac{f}{12}(\partial _yh)^2\right)=0. $ This equation has recently been proposed to describe the step meandering instability on a vicinal surface. Attention is focussed on stationary periodic solutions which are the key for the coarsening process.