Symplectic non-squeezing for the cubic NLS on the line

2016/06/30 by Rowan Killip, Monica Vişan, Killip, Rowan +3 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1606.09467

openalex publication_date 2016/06/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Citations

• Nonsqueezing property of the coupled KdV type system without Miura transform
• Finite-dimensional approximation and non-squeezing for the cubic nonlinear Schrödinger equation on \R²

Cited by

• Asymptotic behavior of mass-critical Schrödinger equation in ℝ
• Well-posedness issues on the periodic modified Kawahara equation

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