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Method of characteristics

  1. May 25, 2015 #1
    1. The problem statement, all variables and given/known data: Using the method of characteristics, say if the problem does have a solution; if it does, is the solution unique?
    Безымянный.png

    2. Relevant equations
    dt=(u^2)dx;

    3. The attempt at a solution
    from the formula above follows dt/dx=u^2; then how am I supposed to find and use characteristics?
     
  2. jcsd
  3. May 25, 2015 #2

    epenguin

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    Well what is ux/ut in general? (Never sure if this is same thing as 'method of characteristics' but you can solve by asking - or by now answering - that question.)
     
  4. May 25, 2015 #3
  5. May 25, 2015 #4

    epenguin

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    No
    It may be more familiar as (∂u/∂x)t/(∂u/∂t)x = ?

    (I did not get that article last time I tried to read it, nor others I have tried, but will try again in next days).
     
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