On Mikhailov's reduction group

Tihomir Valchev

doi:10.1016/j.physleta.2015.05.024

On Mikhailov's reduction group

Tihomir Valchev

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

Abstract

We propose a generalization of the notion of reduction group which provides group-theoretical tools to study in a uniform way certain classes of nonlocal S-integrable equations like Ablowitz-Musslimani's nonlocal Schrödinger equation. Another benefit of the generalization to be presented here is that it supplies us with a systematic approach to construct solutions to S-integrable equations with prescribed symmetries.

Original language	English
Pages (from-to)	1877-1880
Number of pages	4
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	379
Issue number	34-35
DOIs	https://doi.org/10.1016/j.physleta.2015.05.024
Publication status	Published - 26 May 2015
Externally published	Yes

Keywords

Nonlocal reductions
Polynomial bundles
S-integrable equations

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10.1016/j.physleta.2015.05.024

https://arrow.tudublin.ie/scschmatart/170Licence: CC BY-NC-SA

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title = "On Mikhailov's reduction group",

abstract = "We propose a generalization of the notion of reduction group which provides group-theoretical tools to study in a uniform way certain classes of nonlocal S-integrable equations like Ablowitz-Musslimani's nonlocal Schr{\"o}dinger equation. Another benefit of the generalization to be presented here is that it supplies us with a systematic approach to construct solutions to S-integrable equations with prescribed symmetries.",

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AB - We propose a generalization of the notion of reduction group which provides group-theoretical tools to study in a uniform way certain classes of nonlocal S-integrable equations like Ablowitz-Musslimani's nonlocal Schrödinger equation. Another benefit of the generalization to be presented here is that it supplies us with a systematic approach to construct solutions to S-integrable equations with prescribed symmetries.

KW - Nonlocal reductions

KW - Polynomial bundles

KW - S-integrable equations

UR - https://www.scopus.com/pages/publications/84930226103

U2 - 10.1016/j.physleta.2015.05.024

DO - 10.1016/j.physleta.2015.05.024

M3 - Article

SN - 0375-9601

VL - 379

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EP - 1880

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 34-35

ER -

On Mikhailov's reduction group

Abstract

Keywords

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