1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Continous symmetry group

  1. Jun 10, 2006 #1
    Let be a differential equation :

    [tex] y^{(n)}=F(t,y,\dot y ,\ddot y , \dddot y,..........., y^{n-1}) [/tex]

    then if we propose a Lagrangian so its euler-Lagrange equation gives:

    [tex] \sum_{k=0}^{n}(-1)^{n}\frac{d^{2}}{dt^{2}}(\frac{\partial ^{n} L}{\partial \ y^{n} })=0 [/tex]

    The differential equation can be derived from a variational principle...then my question is how could we applycontinous group theory to solve this differential equation thanks,or for example if i know that the differential equation has as a particular solution y(t)=exp(rt) where r can be a real or complex parameter.
     
    Last edited: Jun 10, 2006
  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: Continous symmetry group
  1. Remanian to continous (Replies: 6)

Loading...