Numerical study of the KP equation for non-periodic waves

  title={Numerical study of the KP equation for non-periodic waves},
  author={Chiu-Yen Kao and Yuji Kodama},
  journal={Math. Comput. Simul.},
  • C. Kao, Y. Kodama
  • Published 3 April 2010
  • Physics, Computer Science, Mathematics
  • Math. Comput. Simul.
The Kadomtsev-Petviashvili (KP) equation describes weakly dispersive and small amplitude waves propagating in a quasi-two-dimensional situation. Recently a large variety of exact soliton solutions of the KP equation has been found and classified. Those soliton solutions are localized along certain lines in a two-dimensional plane and decay exponentially everywhere else, and they are called line-soliton solutions in this paper. The classification is based on the far-field patterns of the… Expand
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