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

2010/10/26 by Christian Klein, Klein, C., Jean‐Claude Saut +1
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Nonlinear Photonic Systems #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1010.5510

openalex publication_date 2010/10/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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