Date: May 29, 2013 11:25 AM
Subject: Re: Solution of Non-Linear PDE
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 ?