(adsbygoogle = window.adsbygoogle || []).push({}); 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.

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# Somie info about this PDE please ?

Can you offer guidance or do you also need help?

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