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Soliton dynamics of NLS with singular potentials

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Publication:378389
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DOI10.4310/DPDE.2013.v10.n2.a4zbMath1300.35130arXiv1206.1832OpenAlexW2086736150MaRDI QIDQ378389

Marco Squassina, Marco Ghimenti, Claudio Bonanno

Publication date: 11 November 2013

Published in: Dynamics of Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.1832


zbMATH Keywords

nonlinear Schrödinger equationsingular potentialssoliton dynamics


Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Generalized solutions to partial differential equations (35D99) Soliton solutions (35C08) Quasilinear elliptic equations (35J62)


Related Items (2)

Ground states of nonlinear Schrödinger equations with sum of periodic and inverse-square potentials ⋮ Long time dynamics of highly concentrated solitary waves for the nonlinear Schrödinger equation




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