Seminar on nonlinear problems of PDE and mathematical physics (chief prof. A.E. Shishkov)
Speaker: PhD Kabakouala Andre ( RUDN University)
Topic: Proof of the Linear and Nonlinear Liouville Property for the generalized Kawahara equation by perturbation arguments following the Method of Kenig-Martel-Robbino-Merle.
We will prove the existence of the solitons of generalized Kawahara equation which converge to the solitons of generalized Korteweg-de Vries equation in all Sobolev spaces. We will prove the Linear and Nonlinear Liouville Property for generalized Kawahara equation with this family of Solitons. Sketch of the proof of the Orbital Stability of this family of solitons will be presented.