Soliton dynamics and scattering

Avy Soffer

Soliton dynamics and scattering

Avy Soffer

School of Arts and Sciences, Mathematics

Research output: Contribution to conference › Paper › peer-review

33 Scopus citations

Abstract

A survey of results and problems of soliton dynamics in dispersive and hyperbolic nonlinear PDE's and the related spectral and scattering theory. I focus on the problem of large time behavior of the nonlinear Schrödinger equation, with both solitary and radiative waves appearing in the solution. The equations are nonintegrable in general and in arbitrary dimension. I will formulate the main conjectures relevant to soliton dynamics.

Original language	English (US)
Pages	459-471
Number of pages	13
State	Published - 2006
Event	25th International Congress of Mathematicians, ICM 2006 - Madrid, Spain Duration: Aug 22 2006 → Aug 30 2006

Other

Other	25th International Congress of Mathematicians, ICM 2006
Country/Territory	Spain
City	Madrid
Period	8/22/06 → 8/30/06

All Science Journal Classification (ASJC) codes

Mathematics(all)

Keywords

Asymptotic stability
Asymptotic-completeness
Dispersive waves
NLS
Solitons

Cite this

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title = "Soliton dynamics and scattering",

abstract = "A survey of results and problems of soliton dynamics in dispersive and hyperbolic nonlinear PDE's and the related spectral and scattering theory. I focus on the problem of large time behavior of the nonlinear Schr{\"o}dinger equation, with both solitary and radiative waves appearing in the solution. The equations are nonintegrable in general and in arbitrary dimension. I will formulate the main conjectures relevant to soliton dynamics.",

keywords = "Asymptotic stability, Asymptotic-completeness, Dispersive waves, NLS, Solitons",

author = "Avy Soffer",

year = "2006",

language = "English (US)",

pages = "459--471",

note = "25th International Congress of Mathematicians, ICM 2006 ; Conference date: 22-08-2006 Through 30-08-2006",

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TY - CONF

T1 - Soliton dynamics and scattering

AU - Soffer, Avy

PY - 2006

Y1 - 2006

N2 - A survey of results and problems of soliton dynamics in dispersive and hyperbolic nonlinear PDE's and the related spectral and scattering theory. I focus on the problem of large time behavior of the nonlinear Schrödinger equation, with both solitary and radiative waves appearing in the solution. The equations are nonintegrable in general and in arbitrary dimension. I will formulate the main conjectures relevant to soliton dynamics.

AB - A survey of results and problems of soliton dynamics in dispersive and hyperbolic nonlinear PDE's and the related spectral and scattering theory. I focus on the problem of large time behavior of the nonlinear Schrödinger equation, with both solitary and radiative waves appearing in the solution. The equations are nonintegrable in general and in arbitrary dimension. I will formulate the main conjectures relevant to soliton dynamics.

KW - Asymptotic stability

KW - Asymptotic-completeness

KW - Dispersive waves

KW - NLS

KW - Solitons

UR - http://www.scopus.com/inward/record.url?scp=47749149259&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=47749149259&partnerID=8YFLogxK

M3 - Paper

AN - SCOPUS:47749149259

SP - 459

EP - 471

T2 - 25th International Congress of Mathematicians, ICM 2006

Y2 - 22 August 2006 through 30 August 2006

ER -

Soliton dynamics and scattering

Abstract

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All Science Journal Classification (ASJC) codes

Keywords

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