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.

arXiv comment15 pages

References in corpus (4)

• Finite-dimensional approximation and non-squeezing for the cubic nonlinear Schrödinger equation on ${\mathbb{R}}^2$
• Nonsqueezing property of the coupled KdV type system without Miura transform
• Symplectic non-squeezing for the cubic nonlinear Klein-Gordon equation on ${\mathbb{T}}^3$
• The final-state problem for the cubic-quintic NLS with non-vanishing boundary conditions

Cited by in corpus (2)

• Well-posedness issues on the periodic modified Kawahara equation
• Periodic fourth-order cubic NLS: Local well-posedness and Non-squeezing property