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Could given function represent a travelling wave?

  1. Apr 23, 2012 #1
    1. The problem statement, all variables and given/known data

    Verify if given functions could possibly represent a travelling wave?


    2. Relevant equations

    a) [itex](x-(v*t))^{2}[/itex]

    b) [itex]ln({(x+(v*t))/x_{0}})[/itex]

    c) [itex]1/(x+(v*t))[/itex]


    3. The attempt at a solution

    I suppose that for a function to represent a travelling wave, it must remain finite for all x & t. Hence, since (b) & (c) are infinity at x=t=0, they cannot represent a travelling wave.

    Would I be correct to pursue this line of argument? If yes, then how should I proceed with (a)?


    Would appreciate assistance.


    Best regards,
    wirefree
     
  2. jcsd
  3. Apr 23, 2012 #2
    Check if the given functions satisfy the wave equation: d^2(f)/(dx^2) = v^-2*d^2(f)/(dt^2)
     
  4. Apr 25, 2012 #3
    Would I be correct to pursue my line of argument that for a function to represent a travelling wave, it must remain finite for all x & t?

    If yes, then how should I proceed with (a) in the initial post?

    Would appreciate an answer to my initial question.


    Best regards,
    wirefree
     
  5. Apr 27, 2012 #4

    I am afraid we've not been taught the wave equation yet. The chapter I have finished covers topics incl. displacement relation in a progressive wave, speed of travelling wave, principle of superposition, and a couple of more.

    I would greatly appreciate if you could address my query using simpler concepts, such as the one I have mentioned in my earlier post.


    Best regards,
    wirefree
     
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