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f'''+a*f*f''=0 where a is a parameter.

With the boundary conditions f(0)=0; f(-inf)=1; f(inf)=1.

I had thought about using a shooting method but I don't know how to apply it with these boundary conditions. It would be nice if somebody could help me or give me a reference where I can find it( I have already looked for it in some books but I find nothing).

Thank you.

Michujo.