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

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renatovitale77@gmail.com

Posts: 1
Registered: 5/29/13
Re: Solution of Non-Linear PDE
Posted: May 29, 2013 11:25 AM
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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



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