Symplectic non-squeezing for the cubic NLS on the line

Abstract

We prove symplectic non-squeezing for the cubic nonlinear Schrödinger equation on the line via finite-dimensional approximation.

15 pages

References in corpus (1)

• Finite-dimensional approximation and non-squeezing for the cubic nonlinear Schrödinger equation on ${\mathbb{R}}^2$

Cited by in corpus (1)

• Periodic fourth-order cubic NLS: Local well-posedness and Non-squeezing property