Symplectic Non-Squeezing for the Cubic NLS on the Line

DOI10.1093/imrn/rnx152zbMath1496.35363arXiv1606.09467OpenAlexW2963337144MaRDI QIDQ5243323

Monica Visan, Rowan Killip, Xiaoyi Zhang

Publication date: 18 November 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.09467

zbMATH Keywords

cubic nonlinear Schrödinger equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (5)

Scattering of the focusing energy-critical NLS with inverse square potential in the radial case ⋮ Periodic fourth-order cubic NLS: local well-posedness and non-squeezing property ⋮ The symplectic non-squeezing properties of mass subcritical Hartree equations ⋮ Well-posedness issues on the periodic modified Kawahara equation ⋮ Symplectic nonsqueezing for the KdV flow on the line

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