Integrable Nonlocal PT-Symmetric Modified Korteweg-de Vries Equations Associated with so(3, \({\mathbb{R}}\))

Integrable Nonlocal PT-Symmetric Modified Korteweg-de Vries Equations Associated with so(3, \({\mathbb{R}}\))

We construct integrable PT-symmetric nonlocal reductions for an integrable hierarchy associated with the special orthogonal Lie algebra <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>so</mi&g...

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Autor principal: Wen-Xiu Ma
Formato: article
Lenguaje:EN
Publicado: MDPI AG 2021
Materias:
zero curvature equation
Liouville integrability
nonlocal integrable reduction
Mathematics
QA1-939
Acceso en línea:https://doaj.org/article/b1de6d20c4564f188a2234d872261ad4
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spelling oai:doaj.org-article:b1de6d20c4564f188a2234d872261ad42021-11-25T19:07:34ZIntegrable Nonlocal PT-Symmetric Modified Korteweg-de Vries Equations Associated with so(3, \({\mathbb{R}}\))10.3390/sym131122052073-8994https://doaj.org/article/b1de6d20c4564f188a2234d872261ad42021-11-01T00:00:00Zhttps://www.mdpi.com/2073-8994/13/11/2205https://doaj.org/toc/2073-8994We construct integrable PT-symmetric nonlocal reductions for an integrable hierarchy associated with the special orthogonal Lie algebra <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>so</mi><mo>(</mo><mn>3</mn><mo>,</mo><mi mathvariant="double-struck">R</mi><mo>)</mo></mrow></semantics></math></inline-formula>. The resulting typical nonlocal integrable equations are integrable PT-symmetric nonlocal complex reverse-spacetime and real reverse-spacetime modified Korteweg-de Vries equations associated with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>so</mi><mo>(</mo><mn>3</mn><mo>,</mo><mi mathvariant="double-struck">R</mi><mo>)</mo></mrow></semantics></math></inline-formula>.Wen-Xiu MaMDPI AGarticlezero curvature equationLiouville integrabilitynonlocal integrable reductionMathematicsQA1-939ENSymmetry, Vol 13, Iss 2205, p 2205 (2021)
institution DOAJ
collection DOAJ
language EN
topic zero curvature equation
Liouville integrability
nonlocal integrable reduction
Mathematics
QA1-939
spellingShingle zero curvature equation
Liouville integrability
nonlocal integrable reduction
Mathematics
QA1-939
Wen-Xiu Ma
Integrable Nonlocal PT-Symmetric Modified Korteweg-de Vries Equations Associated with so(3, \({\mathbb{R}}\))
description We construct integrable PT-symmetric nonlocal reductions for an integrable hierarchy associated with the special orthogonal Lie algebra <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>so</mi><mo>(</mo><mn>3</mn><mo>,</mo><mi mathvariant="double-struck">R</mi><mo>)</mo></mrow></semantics></math></inline-formula>. The resulting typical nonlocal integrable equations are integrable PT-symmetric nonlocal complex reverse-spacetime and real reverse-spacetime modified Korteweg-de Vries equations associated with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>so</mi><mo>(</mo><mn>3</mn><mo>,</mo><mi mathvariant="double-struck">R</mi><mo>)</mo></mrow></semantics></math></inline-formula>.
format article
author Wen-Xiu Ma
author_facet Wen-Xiu Ma
author_sort Wen-Xiu Ma
title Integrable Nonlocal PT-Symmetric Modified Korteweg-de Vries Equations Associated with so(3, \({\mathbb{R}}\))
title_short Integrable Nonlocal PT-Symmetric Modified Korteweg-de Vries Equations Associated with so(3, \({\mathbb{R}}\))
title_full Integrable Nonlocal PT-Symmetric Modified Korteweg-de Vries Equations Associated with so(3, \({\mathbb{R}}\))
title_fullStr Integrable Nonlocal PT-Symmetric Modified Korteweg-de Vries Equations Associated with so(3, \({\mathbb{R}}\))
title_full_unstemmed Integrable Nonlocal PT-Symmetric Modified Korteweg-de Vries Equations Associated with so(3, \({\mathbb{R}}\))
title_sort integrable nonlocal pt-symmetric modified korteweg-de vries equations associated with so(3, \({\mathbb{r}}\))
publisher MDPI AG
publishDate 2021
url https://doaj.org/article/b1de6d20c4564f188a2234d872261ad4
work_keys_str_mv AT wenxiuma integrablenonlocalptsymmetricmodifiedkortewegdevriesequationsassociatedwithso3mathbbr
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