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  1. +1 −1 ucf_thesis/chapter_3.tex
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2 ucf_thesis/chapter_3.tex
@@ -238,7 +238,7 @@ \subsection{ Near $C_0$ }
-2 k\left( -2k \left(\mathrm{sech}^2(kz)-\mathrm{sech}^4(kz)\right) + k \mathrm{sech}^4(kz)\right) &=& -\frac{\epsilon}{q} \mathrm{sech^2}(kz) - \frac{b \Delta_1}{3} \ell \mathrm{sech}^4(kz)
\end{eqnarray*}
\end{subequations}
-where we have used the same hyperboic identities as in Chapter 2.
+where we have used the same hyperbolic identities as in Chapter 2.
Matching the $\mathcal{O}(\mathrm{sech}^2(kz))$ and $\mathcal{O}(\mathrm{sech}^2(kz))$ terms on each side of the preceding equation implies
\begin{subequations}
\begin{eqnarray}

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