Numerical study of blow up and stability of solutions of generalized Kadomtsev-Petviashvili equations

Details Numerical study of blow up and stability of solutions of generalized Kadomtsev-Petviashvili equations Numerical study of blow up and stability of solutions of generalized Kadomtsev-Petviashvili equations

2010-10-26

arxiv.org/abs/1010.5510v1

Mathematics

Analysis of PDEs

46 pages, 33 figures

Scientific paper

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.

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