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Somie info about this PDE please ?

  1. Jan 24, 2010 #1
    Somie info about this PDE please ??

    [tex]
    \frac{\partial u}{\partial t} = r u - (1+\nabla^2)^2u + f(u) [/tex]

    where f(u) is an smooth function , u=U(x,t) is the solution of the PDE

    this is the Swift-Hohenberg equation, my teacher has asked me to solve it or look some info about it specially

    - How it can be solved by Analytic methods in 1-D (x,t)

    - Special cases: spherical, cilindric coordinates

    i heard it was compeltely known how to solve (approximately) this equation, could someone give me some info about how the S-H is deduced mathematically and how to find the solutions for several f(u) ?? .. thanks in advance.
     
  2. jcsd
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