Long time asymptotics for the KPII equation

2025/09/03 by Wu, Derchyi
#35P25 #35Q53 #37K15 #Analysis of PDEs (math.AP) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences

paper · doi:10.48550/arxiv.2509.02907

Abstract

The long-time asymptotics of small Kadomtsev-Petviashvili II (KPII) solutions is derived using the inverse scattering theory and the stationary phase method.

Related

• Large-Time Asymptotics for the Kadomtsev-Petviashvili I Equation
• Properties Of Solutions Of The Kpi Equation
• Long time asymptotics of large data in the Kadomtsev-Petviashvili models
• Low regularity solutions for the Kadomtsev-Petviashvili I equation
• Long-time asymptotics for the short pulse equation