Focusing singularity of the cubic Schrödinger equation

D. W. McLaughlin; G. C. Papanicolaou; C. Sulem; P. L. Sulem

doi:10.1103/PhysRevA.34.1200

Focusing singularity of the cubic Schrödinger equation

D. W. McLaughlin, G. C. Papanicolaou, C. Sulem, P. L. Sulem

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

Abstract

The cubic Schrödinger equation has singular solutions in two or more space dimensions. The singularities occur at points of intense self-focusing. In this paper we present numerical results that describe the nature of the focusing singularity.

Original language	English (US)
Pages (from-to)	1200-1210
Number of pages	11
Journal	Physical Review A
Volume	34
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevA.34.1200
State	Published - 1986

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

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10.1103/PhysRevA.34.1200

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title = "Focusing singularity of the cubic Schr{\"o}dinger equation",

abstract = "The cubic Schr{\"o}dinger equation has singular solutions in two or more space dimensions. The singularities occur at points of intense self-focusing. In this paper we present numerical results that describe the nature of the focusing singularity.",

author = "McLaughlin, {D. W.} and Papanicolaou, {G. C.} and C. Sulem and Sulem, {P. L.}",

year = "1986",

doi = "10.1103/PhysRevA.34.1200",

language = "English (US)",

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pages = "1200--1210",

journal = "Physical Review A",

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AU - McLaughlin, D. W.

AU - Papanicolaou, G. C.

AU - Sulem, C.

AU - Sulem, P. L.

PY - 1986

Y1 - 1986

N2 - The cubic Schrödinger equation has singular solutions in two or more space dimensions. The singularities occur at points of intense self-focusing. In this paper we present numerical results that describe the nature of the focusing singularity.

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DO - 10.1103/PhysRevA.34.1200

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JO - Physical Review A

JF - Physical Review A

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Focusing singularity of the cubic Schrödinger equation

Abstract

ASJC Scopus subject areas

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