1. Limited time only! Sign up for a free 30min personal 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!

Homework Help: Non linear pde need to change it to an ode

  1. Oct 24, 2011 #1
    1. The problem statement, all variables and given/known data
    my non linear pde is
    du/dt = d/dx [3u2 - d2u/dx2 ]
    The question says to let u(x,t) = f(x-ct)
    Where the function f tends to 0, f' tends to 0 and f'' tends to 0 but the (x-ct) tends to positive or negative infinity.

    2. Relevant equations
    i thought the solution was to find du/dt du/dx d2u/dt2 and d2u/dx2
    Which gave me in order as above, -cf' , f' , c2f'' , f''


    3. The attempt at a solution

    But when i substitute these into the pde i get -cf' = d/dx[3f2 - f"] which im not sure actually helps

    Could someone please tell me if i am using the correct method or if i have done it completely wrong

    Thank you
     
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted



Loading...