Asymptotic behaviour of a solution for Kadomtsev-Petviashvili-2 equation

TL;DR

This paper investigates the long-term asymptotic behavior of solutions to the Kadomtsev-Petviashvili-2 equation, providing insights into their evolution as time approaches infinity.

Contribution

It derives the uniform asymptotic behavior of solutions to the KP-2 equation as time tends to infinity, advancing understanding of its long-term dynamics.

Findings

Asymptotic behavior characterized as t→∞

Uniform results with respect to spatial variables

Enhanced understanding of KP-2 solution dynamics

Abstract

An asymptotic behaviour of solution of Kadomtsev-Petviashvili-2 equation is obtained as $t\to\infty$ uniformly with respect to spatial variables.