Soliton dynamics for fractional Schrodinger equations

S. Secchi; Marco Squassina

doi:10.1080/00036811.2013.844793

Soliton dynamics for fractional Schrodinger equations

S. Secchi^*
, Marco Squassina

^*Corresponding author

Research output: Contribution to journal › Article › peer-review

29 Citations (Scopus)

Abstract

We investigate the soliton dynamics for the fractional nonlinear Schrödinger\r\nequation by a suitable modulational inequality. In the semiclassical limit, the\r\nsolution concentrates along a trajectory determined by a Newtonian equation\r\ndepending of the fractional diffusion parameter

Original language	English
Pages (from-to)	1702-1729
Number of pages	28
Journal	Applicable Analysis
Volume	93
Issue number	N/A
DOIs	https://doi.org/10.1080/00036811.2013.844793
Publication status	Published - 2014

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

Keywords

Soliton dynamics

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10.1080/00036811.2013.844793

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abstract = "We investigate the soliton dynamics for the fractional nonlinear Schr{\"o}dinger\textbackslash{}r\textbackslash{}nequation by a suitable modulational inequality. In the semiclassical limit, the\textbackslash{}r\textbackslash{}nsolution concentrates along a trajectory determined by a Newtonian equation\textbackslash{}r\textbackslash{}ndepending of the fractional diffusion parameter",

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language = "English",

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AU - Secchi, S.

AU - Squassina, Marco

PY - 2014

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AB - We investigate the soliton dynamics for the fractional nonlinear Schrödinger\r\nequation by a suitable modulational inequality. In the semiclassical limit, the\r\nsolution concentrates along a trajectory determined by a Newtonian equation\r\ndepending of the fractional diffusion parameter

KW - Soliton dynamics

UR - https://publicatt.unicatt.it/handle/10807/87881

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DO - 10.1080/00036811.2013.844793

M3 - Article

SN - 0003-6811

VL - 93

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EP - 1729

JO - Applicable Analysis

JF - Applicable Analysis

IS - N/A

ER -

Soliton dynamics for fractional Schrodinger equations

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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