Alternative integrable equations of nonlinear optics

S. P. Burtsev; I. R. Gabitov

doi:10.1103/PhysRevA.49.2065

Alternative integrable equations of nonlinear optics

S. P. Burtsev, I. R. Gabitov

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

34 Scopus citations

Abstract

We present a list of nonlinear optics equations [the reduced Maxwell-Bloch system with pumping (or with a damping of a special type), nonlinear Schrödinger-Bloch equations with pumping, etc.] that can be solved by the inverse-scattering transform with a variable spectral parameter. We obtain the corresponding Lax pairs and equations for the spectral parameter.

Original language	English (US)
Pages (from-to)	2065-2070
Number of pages	6
Journal	Physical Review A
Volume	49
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevA.49.2065
State	Published - 1994
Externally published	Yes

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

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10.1103/PhysRevA.49.2065

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title = "Alternative integrable equations of nonlinear optics",

abstract = "We present a list of nonlinear optics equations [the reduced Maxwell-Bloch system with pumping (or with a damping of a special type), nonlinear Schr{\"o}dinger-Bloch equations with pumping, etc.] that can be solved by the inverse-scattering transform with a variable spectral parameter. We obtain the corresponding Lax pairs and equations for the spectral parameter.",

author = "Burtsev, {S. P.} and Gabitov, {I. R.}",

year = "1994",

doi = "10.1103/PhysRevA.49.2065",

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AB - We present a list of nonlinear optics equations [the reduced Maxwell-Bloch system with pumping (or with a damping of a special type), nonlinear Schrödinger-Bloch equations with pumping, etc.] that can be solved by the inverse-scattering transform with a variable spectral parameter. We obtain the corresponding Lax pairs and equations for the spectral parameter.

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Alternative integrable equations of nonlinear optics

Abstract

ASJC Scopus subject areas

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