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the last straw
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git-svn-id: svn+ssh://leto.net/usr/local/svn/thesis@151 c868c573-c6a3-dc11-90ff-0002b3153201
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leto committed Apr 18, 2008
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2 changes: 1 addition & 1 deletion ucf_thesis/chapter_1.tex
Expand Up @@ -24,7 +24,7 @@ \chapter{CHAPTER ONE: INTRODUCTION} \label{chapter_1}
solitons were found in an even more fundamental and canonical system, the solitons were found in an even more fundamental and canonical system, the
nonlinear Schr\"odinger equations $ i \Psi_t + \Psi_{xx} \pm \Psi\|\Psi\|^2 = 0 nonlinear Schr\"odinger equations $ i \Psi_t + \Psi_{xx} \pm \Psi\|\Psi\|^2 = 0
$ \cite{ZS}. These equations arise in diverse areas because they are canonical $ \cite{ZS}. These equations arise in diverse areas because they are canonical
equations governing the modulation of the amplitude $\Psi$ of a weakly nonlinear equations governing the modulation of the amplitude $\Psi$ of weakly nonlinear
wave packets \cite{DJ}. This led to a comprehensive theory, an extension of wave packets \cite{DJ}. This led to a comprehensive theory, an extension of
Fourier analysis for nonlinear systems, called the Inverse Scattering Transform Fourier analysis for nonlinear systems, called the Inverse Scattering Transform
\cite{AKNS}. \cite{AKNS}.
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