Nondimensionalize quick question (1 Viewer)

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Please check the image, I got it from wikipedia which is similar to the problem i am trying to solve, just a quick question, there's a line on it that says "Since there are two free parameters, at most only two coefficients can be made to equal unity.", i want to know what are the two free parameters, and how do they determine it? This is something that's mentioned in my textbook as well which im confused of. Thanks
 

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fzero

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The free parameters are [tex]x_c, t_c[/tex] that were introduced by defining

[tex]x = x_c \chi ,~ t = t_c \tau.[/tex]

The idea is that you can simplify the form of the equation by choosing [tex]x_c, t_c[/tex] in terms of [tex]a,b,c,A[/tex].
 

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