KP solitons in shallow water

  title={KP solitons in shallow water},
  author={Yuji Kodama},
  journal={Journal of Physics A},
  • Y. Kodama
  • Published 26 April 2010
  • Physics, Mathematics
  • Journal of Physics A
The main purpose of the paper is to provide a survey of our recent studies on soliton solutions of the Kadomtsev–Petviashvili (KP) equation. The KP equation describes weakly dispersive and small amplitude wave propagation in a quasi-two-dimensional framework. Recently, a large variety of exact soliton solutions of the KP equation has been found and classified. These solutions are localized along certain lines in a two-dimensional plane and decay exponentially everywhere else, and are called… 
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