Asymptotic stability manifolds for solitons in the generalized Good Boussinesq equation.

Abstract: In this talk, I shall consider the generalized Good-Boussinesq model in one dimension, with power nonlinearity and data in the energy space $H^{^1}\times L^{^2}$. I will present in more detail the long-time behavior of zero-speed solitary waves, or standing waves. By using virial identities, in the spirit of Kowalczyk, Martel, and Muñoz, we construct and characterize a manifold of even-odd initial data around the standing wave for which there is asymptotic stability in the energy space.

Posted on Apr 9, 2021 in Differential Equations, Seminars