Nonlinear Schrödinger Equations

M. J. Ablowitz; B. Prinari

doi:10.1016/B0-12-512666-2/00181-4

Nonlinear Schrödinger Equations

M. J. Ablowitz
, B. Prinari

Mathematics

University of Colorado Boulder

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

1 Scopus citations

Abstract

Nonlinear Schrödinger (NLS) equations have become one of the most important nonlinear systems studied in mathematics and physics. Actually, one can find the essence of NLS equations in the early work of Ginzburg and Landau (1950) and Ginzburg (1956) in their study of the macroscopic theory of superconductivity, and also of Ginzburg and Pitaevskii (1958), who subsequently investigated the theory of superfluidity.

Original language	English
Title of host publication	Encyclopedia of Mathematical Physics
Subtitle of host publication	Five-Volume Set
Publisher	Elsevier Inc.
Pages	552-560
Number of pages	9
ISBN (Electronic)	9780125126601
ISBN (Print)	9780125126663
DOIs	https://doi.org/10.1016/B0-12-512666-2/00181-4
State	Published - Jan 1 2004

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abstract = "Nonlinear Schr{\"o}dinger (NLS) equations have become one of the most important nonlinear systems studied in mathematics and physics. Actually, one can find the essence of NLS equations in the early work of Ginzburg and Landau (1950) and Ginzburg (1956) in their study of the macroscopic theory of superconductivity, and also of Ginzburg and Pitaevskii (1958), who subsequently investigated the theory of superfluidity.",

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AB - Nonlinear Schrödinger (NLS) equations have become one of the most important nonlinear systems studied in mathematics and physics. Actually, one can find the essence of NLS equations in the early work of Ginzburg and Landau (1950) and Ginzburg (1956) in their study of the macroscopic theory of superconductivity, and also of Ginzburg and Pitaevskii (1958), who subsequently investigated the theory of superfluidity.

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ER -

Nonlinear Schrödinger Equations

Abstract

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