• Corpus ID: 234358841

On the asymptotic stability of $N$-soliton solutions of the three-wave resonant interaction equation

@inproceedings{Yang2021OnTA,
  title={On the asymptotic stability of \$N\$-soliton solutions of the three-wave resonant interaction equation},
  author={Yiling Yang and Engui Fan},
  year={2021}
}
The three-wave resonant interaction (three-wave) equation not only possesses $3\times 3$ matrix spectral problem, but also being absence of stationary phase points, which give rise to difficulty on the asymptotic analysis with stationary phase method or classical Deift-Zhou steepest descent method. In this paper, we study the long time asymptotics and asymptotic stability of $N$-soliton solutions of the initial value problem for the three-wave equation in the solitonic region \begin{align}&p_…