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Numerical solution of differential equation with boundary values

• To: mathgroup at smc.vnet.net
• Subject: [mg109826] Numerical solution of differential equation with boundary values
• From: susy <fengkguo at gmail.com>
• Date: Wed, 19 May 2010 07:03:37 -0400 (EDT)

Hallo,

I need to solve the following differential equation:

(1/4 r^2 + 2 Sin[F[r]]^2) F''[r] + 1/2 r F'[r] + 
  Sin[2 F[r]] (F'[r])^2 - 1/4 Sin[2 F[r]] - (Sin[F[r]]^2 Sin[2 F[r]])/r^2 == 0

with boundary values:
F[0]==Pi, F[Infinity]==0.

I tried NDSolve, but failed to get a solution.
How can I solve that equation?

Best regards,
susy