The symmetries of solitons

@article{Palais1997TheSO,
  title={The symmetries of solitons},
  author={Richard Palais},
  journal={Bulletin of the American Mathematical Society},
  year={1997},
  volume={34},
  pages={339-403}
}
  • R. Palais
  • Published 8 August 1997
  • Physics
  • Bulletin of the American Mathematical Society
In this article we will retrace one of the great mathematical adventures of this century—the discovery of the soliton and the gradual explanation of its remarkable properties in terms of hidden symmetries. We will take an historical approach, starting with a famous numerical experiment carried out by Fermi, Pasta, and Ulam on one of the first electronic computers, and with Zabusky and Kruskal’s insightful explanation of the surprising results of that experiment (and of a follow-up experiment of… 
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