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git-svn-id: svn+ssh://leto.net/usr/local/svn/thesis@146 c868c573-c6a3-dc11-90ff-0002b3153201
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1 parent 368153e commit 84d3f57a745de2f67043f80b6f6b51342f7ebec0 leto committed Apr 18, 2008
Showing with 7 additions and 8 deletions.
  1. +1 −3 ucf_thesis/abstract.tex
  2. +5 −4 ucf_thesis/chapter_1.tex
  3. +1 −1 ucf_thesis/chapter_4.tex
@@ -28,9 +28,7 @@ \chapter*{ABSTRACT}
region, the delocalized waves reduce to genuine embedded solitons. For the
Microstructure equation, the new family of solutions occur in regions of
parameter space distinct from the known solitary wave solutions and are thus
-entirely new.
-
-Directions for future work, including the dynamics of each family of
+entirely new. Directions for future work, including the dynamics of each family of
solitary waves using exponential asymptotics techniques, are also mentioned.
%%%%% DEDICATION SECTION -- OPTIONAL %%%%%
@@ -85,8 +85,9 @@ \chapter{CHAPTER ONE: INTRODUCTION} \label{chapter_1}
eigenvalues coalescing into an eigenvalue of multiplicity two as a parameter is
varied.
-For the generalized Microstructure equation, the new family of solutions occur
+For the generalized microstructure equation, the new family of solutions occur
in regions of parameter space distinct from the known solitary wave solutions
-and are thus entirely new. Directions for future work, including the dynamics of
-each family of solitary waves using exponential asymptotics techniques, are also
-mentioned.
+and are thus entirely new.
+%Directions for future work, including the dynamics of
+%each family of solitary waves using exponential asymptotics techniques, are also
+%mentioned.
@@ -45,7 +45,7 @@ \chapter{CHAPTER FOUR: RESULTS} \label{chapter_4}
they correspond to soliton pulse solutions of the original PDE \cite{IA}. Iooss
\& P\'erou\`eme have proved that solutions in the traveling wave ODE persist in
the original system \cite{IP} for reversible 1:1 resonance vector fields. For
-the Microstructure equation , the new family of solutions occur in regions of
+the microstructure equation, the new family of solutions occur in regions of
parameter space distinct from the known solitary wave solutions and are thus
entirely new.

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