Blow-up in nonlinear Schroedinger equations. I. A general review

Jens Juul Rasmussen; K. Rypdal

doi:10.1088/0031-8949/33/6/001

Blow-up in nonlinear Schroedinger equations. I. A general review

Jens Juul Rasmussen, K. Rypdal

University of Tromsø – The Arctic University of Norway

Research output: Contribution to journal › Journal article › Research › peer-review

Abstract

The general properties of a class of nonlinear Schroedinger equations: iut + p:∇∇u + f(|u|2)u = 0 are reviewed. Conditions for existence, uniqueness, and stability of solitary wave solutions are presented, along with conditions for blow-up and global existence for the Cauchy problem.

Original language	English
Journal	Physica Scripta
Volume	33
Issue number	6
Pages (from-to)	481-497
ISSN	0031-8949
DOIs	https://doi.org/10.1088/0031-8949/33/6/001
Publication status	Published - 1986

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title = "Blow-up in nonlinear Schroedinger equations. I. A general review",

abstract = "The general properties of a class of nonlinear Schroedinger equations: iut + p:∇∇u + f(|u|2)u = 0 are reviewed. Conditions for existence, uniqueness, and stability of solitary wave solutions are presented, along with conditions for blow-up and global existence for the Cauchy problem.",

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AB - The general properties of a class of nonlinear Schroedinger equations: iut + p:∇∇u + f(|u|2)u = 0 are reviewed. Conditions for existence, uniqueness, and stability of solitary wave solutions are presented, along with conditions for blow-up and global existence for the Cauchy problem.

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DO - 10.1088/0031-8949/33/6/001

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VL - 33

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EP - 497

JO - Physica Scripta

JF - Physica Scripta

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Blow-up in nonlinear Schroedinger equations. I. A general review

Abstract

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