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Classical and nonclassical symmetries for Helmholtz Equation

  1. May 21, 2006 #1
    " Classical and nonclassical symmetries for Helmholtz Equation " solitions help.
    Thank you.
     
  2. jcsd
  3. May 21, 2006 #2

    HallsofIvy

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    This makes no sense. Do you have a question about the Helmhotz equation?
     
  4. May 22, 2006 #3
    It appears as if the OP got PhysicsForums and Google confused...
     
  5. May 22, 2006 #4
    Dear HallsofIvy,
    In general , how can I find symmetry groups in Helmholtz equation?

    how can I pass from eq.2 to eq.3 by using the symmetry links?

    ---------

    The classical symmetries groups for helmholtz equation wiht w² constant are given here for two-dimensional cartesian coordinates x and t.

    For the equation Δ²u+w²u=0 (*****2) (U(x,t))

    The generator of the symmetry grups Q is given by

    Q=T(t,x,u)d/dt +X(t,x,u)d/du +U(t,x,u)d/du (d/dt and d/du partial turev)

    With

    T= a.x+b ,X=-a.t+c , U=d.u+q(x,t) (3*******)

    Where q is any solution of eq.2**.

    This last fact means that the Lie algebra for eq.2** is infinite-dimensonal with fundamental generators
     
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