Results 1 to 3 of 3

Math Help - wave equation

  1. #1
    Member
    Joined
    Jan 2009
    Posts
    83

    wave equation

    Let
    E
    :=1/2(Tyxx+ ytt ) and P := Tyxyt.

    Show that
    Et = Px and TEx = Pt

    and deduce that
    E and P are also solutions of the wave equation, i.e.

    TE
    xx = Ett and TPxx = Ptt.

    What are the physical interpretations of
    E and P?


    I am unsure of this, the physical interpretation of E and P.. are they the nodes?

    many thanks
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Junior Member
    Joined
    Jan 2009
    Posts
    56
    Well my guess is that E is the total energy and P total momentum of the wave, you can check for units if they are the same ones as they should be, anyway that's my guess.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor
    Jester's Avatar
    Joined
    Dec 2008
    From
    Conway AR
    Posts
    2,383
    Thanks
    51
    Quote Originally Posted by James0502 View Post
    Let






    E
    :=1/2(Tyxx+ ytt ) and P := Tyxyt.

    Show that


    Et = Px and TEx = Pt

    and deduce that


    E and P are also solutions of the wave equation, i.e.

    TE


    xx = Ett and TPxx = Ptt.

    What are the physical interpretations of


    E and P?

    I am unsure of this, the physical interpretation of E and P.. are they the nodes?

    many thanks
    Are you sure on
    <br />
E= \frac{1}{2} \left(Ty_{xx}+\frac{1}{2}y_{tt} \right) ?

    I mean the second order derivatives.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Wave equation help.
    Posted in the Differential Equations Forum
    Replies: 7
    Last Post: May 30th 2011, 11:58 PM
  2. Wave equation
    Posted in the Differential Equations Forum
    Replies: 6
    Last Post: October 15th 2009, 06:52 AM
  3. Partial differential equation-wave equation(2)
    Posted in the Differential Equations Forum
    Replies: 4
    Last Post: September 6th 2009, 09:54 AM
  4. Partial differential equation-wave equation - dimensional analysis
    Posted in the Differential Equations Forum
    Replies: 3
    Last Post: August 28th 2009, 12:39 PM
  5. wave equation
    Posted in the Calculus Forum
    Replies: 7
    Last Post: January 3rd 2009, 09:29 AM

Search Tags


/mathhelpforum @mathhelpforum