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Nonlinear instability of a critical traveling wave in the generalized Korteweg -- de Vries equation

Example of a PDF talk with Octave-generated pictures. The talk was given by the author at the Special Session on Evolution Equations in Physics and Mechanics at the AMS sectional meeting in Fayetteville, Arkansas, November 3-4, 2006. The final PDF version is available here.

The latest version of this page lives at http://www.math.tamu.edu/~comech/talks/ams-2006/

Source files

• Main files:
  • kdv.tex
  • kdv.bbl (generated with `bibtex kdv'; the references are taken from the database kdv.bib)
• Octave-files for generating pictures (download Makefile and type `make figures', or run `octave <filename>'):
  • instability-fig-counterexample.m
  • kdvform-n-vs-c.m
  • kdvform-spectrum.m
  • kdv-spectrum.m
• talk.bst (generated with `latex talk.dbj' from talk.dbj) is a bibliography style for presentations, with human-readable citation labels such as [Bohr et al.(1920)] (loaded with \bibliographystyle{talk} instead of e.g. \bibliographystyle{amsalpha}).
• beamerthemeOutremont.sty and beamercolorthemeg.sty are alternative lifestyle files (loaded with \usetheme{Outremont} instead of \usetheme{Warsaw}).

Instructions

1. Download and install Octave, which is a free software (copyrighted under GPL) similar to Matlab. On a Linux computer, chances are that it is already installed. You also need to have GNUPlot installed. On a Debian GNU/Linux computer,

apt-get install octave gnuplot

2. Download all the above files into a new directory and type `make' in that directory. This produces all the required TEX pictures and compiles the PDF file.

Reference materials

• Octave documentation
• GNUplot documentation

Related links

Written by Andrew Comech

ACKNOWLEDGMENT: This page resulted from the research that has been partially supported by the National Science Foundation under Grants DMS-0621257 and DMS-0600863.