In the last talk (12, February), we proved the Nonlinear Liouville Property for the gKW equation. Using this result, we will show the asymptotic stability of the soliton solutions of gKW equation. Namely, we prove the following property: if the global solution of gKW is close to a soliton at initial time, then this solution converges (in some sense) to a soliton.
Speaker: PhD Kabakouala Andre ( RUDN).
Title: Asymptotic stability of the solitons of the generalized Kawahara (gKW) equation.