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

Abstract

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.

46 pages, 33 figures

References in corpus (2)

• Global well-posedness for the KP-I equation on the background of a non localized solution
• Remarks on the mass constraint for KP type equations