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is actually used much more often from what I saw in my google books search). If you have more to add to the article, you are more than welcome to.
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Thanks! Frankly I was not expecting an answer to the above, it was more of a note to myself. (but big brother Jitse is watching. :)
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Knowledge. If you would like to participate, please visit the project page, where you can join
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Well, Peter Olver is an überexpert so his word is law, but for your edification: Substitute
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Is this the same thing as the Harry-Dym equation, or is that something else?
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that the two forms are equivalent. Can an expert confirm that?
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I added the alternative formulation in the article (that one,
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Applications of Lie groups to differential equations, 2nd ed
546:{\displaystyle (v^{-1/2})_{t}=v^{-3/2}(v^{-1/2})_{xxx}}
647:. Finally, do some rescaling to get rid of the factor
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844:{\displaystyle u_{t}=(u^{-1/2})_{xxx}}
290:{\displaystyle u_{t}=(u^{-1/2})_{xxx}}
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747:{\displaystyle v(t,x)=w(-(1/2)t,x)}
38:It is of interest to the following
431:{\displaystyle u_{t}=v^{3}u_{xxx}}
300:and it is claimed for example in
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