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fix typos for publication

git-svn-id: svn+ssh://leto.net/usr/local/svn/thesis@153 c868c573-c6a3-dc11-90ff-0002b3153201
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1 parent a1ebb32 commit dece9001574a4b21187aeee60d808362f3ed413c leto committed May 12, 2008
Showing with 1 addition and 2 deletions.
  1. BIN MS/MS.pdf
  2. BIN MS/MS.ps
  3. +0 −1 MS/section2.tex
  4. +1 −1 MS/section4.tex
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1 MS/section2.tex
@@ -8,7 +8,6 @@ \section{Solitary waves; local bifurcations}
\end{equation}
where
-% the notation $\mathcal{N[\phi]}$ means that the operator $\mathcal{N}$ operates on $\phi$ and all of it's derivatives, and
\begin{equation}
\mathcal{N}\left[\phi\right] = -\Delta_1 \phi_z^2 - b \Delta_1 \phi \phi_{zz}
\end{equation}
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2 MS/section4.tex
@@ -90,7 +90,7 @@ \section{Normal form near $C_1$: possible solitary wave solutions}
\begin{eqnarray}
\mathcal{O}(A^2): & b_* \zeta_1 &= L_{0q} \Psi_{2000}^0 - F_2(\zeta_0,\zeta_0) \\
\mathcal{O}(\left|C\right|^2):& c_* \zeta_1 &= L_{0q} \Psi_{0011}^0 -2 F_2(\zeta_+,\zeta_-) \label{eq:cstar} \\
-\mathcal{O}(\epsilon C): &-\frac{i}{q} \left(d_1 \zeta_+ + d_0 \Psi_{0010}^1\right) &= L_{0q} \Psi_{0010}^1 - F_2(\Psi_{0010}^1,\Psi_{0010}^1) \\
+\mathcal{O}(\epsilon C): &-\frac{i}{q} \left(d_1 \zeta_+ + d_0 \Psi_{0010}^1\right) &= L_{0q} \Psi_{0010}^1 \\
\mathcal{O}(A C): &i d_2 \zeta_+ + i d_0 \Psi_{1010}^0 &= L_{0q} \Psi_{1010}^0 - 2 F_2(\zeta_0,\zeta_+) \label{eq:AC}
\end{eqnarray}
\end{subequations}

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