Why are solitons stable

@article{Tao2008WhyAS,
  title={Why are solitons stable},
  author={T. Tao},
  journal={Bulletin of the American Mathematical Society},
  year={2008},
  volume={46},
  pages={1-33}
}
  • T. Tao
  • Published 2008
  • Physics, Mathematics
  • Bulletin of the American Mathematical Society
  • The theory of linear dispersive equations predicts that waves should spread out and disperse over time. However, it is a remarkable phenomenon, observed both in theory and practice, that once nonlinear effects are taken into account, \emph{solitary wave} or \emph{soliton} solutions can be created, which can be stable enough to persist indefinitely. The construction of such solutions is relatively straightforward, but the fact that they are \emph{stable} requires some significant amounts of… CONTINUE READING
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