Modified Scattering and Asymptotics for Perturbed One-Dimensional Cubic NLS

Vinh Nguyen, Avy Soffer, Truong Vu

We study the long-time dynamics of small solutions to the one-dimensional nonlinear Schrödinger equation \[ i\partial_t v+\partial_x^2v-β\abs{v}^2v +\cW(x)\abs{v}^4v+γi\partial_xv=…