Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Series solution to coupled nonlinear ODEs

  1. Mar 2, 2006 #1

    I have a system of three coupled nonlinear ODEs:

    [tex] \frac{d}{du}(nu)=exp(-\phi), [/tex]

    [tex] u\frac{du}{dx}=\frac{d\phi}{dx}-\frac{u}{n}exp(-\phi), [/tex]

    [tex] \frac{d^2 \phi}{dx^2}=n-exp(-\phi), [/tex]

    with boundary conditions

    [tex] \phi=\phi'=u=n=0 \text{ at } x=0 [/tex]

    Does anyone know, or have references to, how to solve these with a series expansion? I am only interested in the solution for [tex]x \ll 1 [/tex], so higher order terms can be neglected.

    Thankful for any help!

  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you help with the solution or looking for help too?
Draft saved Draft deleted

Similar Discussions: Series solution to coupled nonlinear ODEs