Numerical Study of Blow up and Stability of Solutions of Generalized Kadomtsev–Petviashvili Equations

@article{Klein2012NumericalSO,
  title={Numerical Study of Blow up and Stability of Solutions of Generalized Kadomtsev–Petviashvili Equations},
  author={Christian Klein and Jean-Claude Saut},
  journal={Journal of Nonlinear Science},
  year={2012},
  volume={22},
  pages={763-811}
}
  • C. KleinJ. Saut
  • Published 26 October 2010
  • Mathematics
  • Journal of Nonlinear Science
We first review the known mathematical results concerning the Kadomtsev–Petviashvili type equations. Then we perform numerical simulations to analyze various qualitative properties of the equations: blow-up versus long time behavior, stability and instability of solitary waves. 

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