email@example.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?