A review on asymptotic stability of solitary waves in nonlinear
dispersive problems in dimension one
A review on asymptotic stability of solitary waves in nonlinear
dispersive problems in dimension one
We review asymptotic stability of solitary waves for nonlinear dispersive equations set on the line. Our focus is threefold: first, the nonlinear Schrodinger equation; second, the notion of full asymptotic stability (which states that perturbations of a solitary wave decompose globally into a solitary wave and a decaying solution); and …