Symplectic non-squeezing for the cubic NLS on the line
Rowan Killip, Monica Visan, Xiaoyi Zhang
TL;DR
This paper proves a symplectic non-squeezing property for the cubic nonlinear Schrödinger equation on the real line by employing finite-dimensional approximation techniques.
Contribution
It establishes the symplectic non-squeezing property for the cubic NLS on the line, extending finite-dimensional symplectic results to an infinite-dimensional PDE context.
Findings
Proved symplectic non-squeezing for cubic NLS on the line
Used finite-dimensional approximation methods
Extended symplectic geometry results to PDEs
Abstract
We prove symplectic non-squeezing for the cubic nonlinear Schr\"odinger equation on the line via finite-dimensional approximation.
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Nonlinear Waves and Solitons · Mathematical Analysis and Transform Methods