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You can find Equations Filter in Filters > Distort > Equations 

Many thanks to @NotMyFault @John Rostron and @R C-R

Leave your formulas here!

 

x-noise(x) *500  |  x-noise(y) *500  |  x-noise(x,y) *500
y

eq-test.gif.cf4e17dfc83bf55e3ff6e89a369360a3.gif

 

x-noise(x) * 500 * a
y-noise(x,y) * 500 * b

eq-test-2.gif.e9fa06cbb144dbfdd246f9775b9dad14.gif

 

The value 500 is the offset distance. 
It can be replaced by w or h, then the offset distance will be equal to the size of the document in width and height.
x-w*a
y-h*b

Also below is an example of the dependence of A from B
x-noise(x)*w*a*b
y-noise(y)*h*b

eq-test-03.gif.67d1bb9799656cf0a9e9358a249789c6.gif

 

wavy-1.png.00058656a611cb0b0926d06560e0c2ca.png

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