Adding Gaussian solution for the point r=0 (thanks to Horst Beyer for this)

git-svn-id: http://svn.cactuscode.org/arrangements/CactusWave/IDScalarWave/trunk@51 f5a6acaf-da7d-456b-b0a8-35edbc60b392

1 files changed, 6 insertions, 1 deletions

diff --git a/doc/documentation.tex b/doc/documentation.tex
index 3a63740..5cf9d16 100644
--- a/doc/documentation.tex
+++ b/doc/documentation.tex
@@ -77,7 +77,12 @@ The initial profile is
 \begin{equation}
 \phi(r) = A \exp (- r^2/\sigma)
 \end{equation}
-and is set with the parameters
+with the solution at the origin being
+\begin{equation}
+\Psi(r=0,t) = \left(1-2\frac{t^2}{\sigma}\right)\exp(-t^2/\sigma)
+\end{equation}
+
+The Gaussian solution is set with the parameters
 \begin{itemize}
 
 \item {\tt amplitude} = $A$