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Topic: Solution of Non-Linear PDE
Replies: 3   Last Post: May 30, 2013 12:42 PM

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clicliclic@freenet.de

Posts: 982
Registered: 4/26/08
Re: Solution of Non-Linear PDE
Posted: May 29, 2013 1:19 PM
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renatovitale77@gmail.com schrieb:
>
> Dear Ronald, please can you solve this:
> du/dt + u du/dx = - m d^4x/dx^4 - i n d^2x/dx^2
> with IC u(x,0) = sin (x).
> x = [ 0 , 2pi ]; m and n are coefficients << 1 ; i is the imaginary unit.
>
> For n = m = 0 , this is the simply Burgers equation not viscous, but in this particulary case, I don't know how solve!
>
> Please, I have 3 questions:
>
> 1) Someone can solve this Burgers equation?
> 2) What happens in the case of m << n ?
> 3) What happens in the case of n << m ?
>
> Thanks


Who's Ronald? Anyway, d^4x/dx^4 = 0 and d^2x/dx^2 = 0, no doubt. You
probably mean d^4u/dx^4 and d^2u/dx^2, don't you?

Martin.



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