Numerical study of blow up and stability of solutions of generalized Kadomtsev-Petviashvili equations
Klein, C. ; Saut, J. -C.
arXiv, 1010.5510 / Harvested from arXiv
Text on arXiv
We first review the known mathematical results concerning the KP 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.
Publié le : 2010-10-26
Classification:  Mathematics - Analysis of PDEs,  Nonlinear Sciences - Exactly Solvable and Integrable Systems 
@article{1010.5510,
     author = {Klein, C. and Saut, J. -C.},
     title = {Numerical study of blow up and stability of solutions of generalized
  Kadomtsev-Petviashvili equations},
     journal = {arXiv},
     volume = {2010},
     number = {0},
     year = {2010},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1010.5510}
}

Klein, C.; Saut, J. -C. Numerical study of blow up and stability of solutions of generalized
  Kadomtsev-Petviashvili equations. arXiv, Tome 2010 (2010) no. 0, . http://gdmltest.u-ga.fr/item/1010.5510/