Nonlocal symmetries of Frobenius sinh-Gordon systems

Nonlocal symmetries of Frobenius sinh-Gordon systems

Abstract In this paper, we consider a weakly coupled sinh-Gordon equation which takes values in a commutative Frobenius subalgebra of gl(2,C) $gl(2,\mathbb {C})$. Then we construct some nonlocal symmetries of the Frobenius sinh-Gordon system using its Bäcklund transformation and infinitesimal transf...

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Main Authors: Huijuan Zhou, Chuanzhong Li, Xinyue Li, Fushan Li
Format: Article
Language:English
Published: SpringerOpen 2018-08-01
Series:Advances in Difference Equations
Subjects:
Bäcklund transformations
Frobenius sinh-Gordon equation
Nonlocal symmetry
Online Access:http://link.springer.com/article/10.1186/s13662-018-1737-1
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spelling doaj-92f91312ab714df3b66ac6a1a6c39c762020-11-25T00:09:22ZengSpringerOpenAdvances in Difference Equations1687-18472018-08-01201811710.1186/s13662-018-1737-1Nonlocal symmetries of Frobenius sinh-Gordon systemsHuijuan Zhou0Chuanzhong Li1Xinyue Li2Fushan Li3Department of Mathematics, Ningbo UniversityDepartment of Mathematics, Ningbo UniversityCollege of Mathematics and Systems Science, Shandong University of Science and TechnologySchool of Mathematical Sciences, Qufu Normal UniversityAbstract In this paper, we consider a weakly coupled sinh-Gordon equation which takes values in a commutative Frobenius subalgebra of gl(2,C) $gl(2,\mathbb {C})$. Then we construct some nonlocal symmetries of the Frobenius sinh-Gordon system using its Bäcklund transformation and infinitesimal transformations. Based on the nonlocal symmetries, we show some conserved densities of the Frobenius sinh-Gordon system. Using these symmetries, we also construct some new coupled integro-differential systems.http://link.springer.com/article/10.1186/s13662-018-1737-1Bäcklund transformationsFrobenius sinh-Gordon equationNonlocal symmetry
collection DOAJ
language English
format Article
sources DOAJ
author Huijuan Zhou
Chuanzhong Li
Xinyue Li
Fushan Li
spellingShingle Huijuan Zhou
Chuanzhong Li
Xinyue Li
Fushan Li
Nonlocal symmetries of Frobenius sinh-Gordon systems
Advances in Difference Equations
Bäcklund transformations
Frobenius sinh-Gordon equation
Nonlocal symmetry
author_facet Huijuan Zhou
Chuanzhong Li
Xinyue Li
Fushan Li
author_sort Huijuan Zhou
title Nonlocal symmetries of Frobenius sinh-Gordon systems
title_short Nonlocal symmetries of Frobenius sinh-Gordon systems
title_full Nonlocal symmetries of Frobenius sinh-Gordon systems
title_fullStr Nonlocal symmetries of Frobenius sinh-Gordon systems
title_full_unstemmed Nonlocal symmetries of Frobenius sinh-Gordon systems
title_sort nonlocal symmetries of frobenius sinh-gordon systems
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1847
publishDate 2018-08-01
description Abstract In this paper, we consider a weakly coupled sinh-Gordon equation which takes values in a commutative Frobenius subalgebra of gl(2,C) $gl(2,\mathbb {C})$. Then we construct some nonlocal symmetries of the Frobenius sinh-Gordon system using its Bäcklund transformation and infinitesimal transformations. Based on the nonlocal symmetries, we show some conserved densities of the Frobenius sinh-Gordon system. Using these symmetries, we also construct some new coupled integro-differential systems.
topic Bäcklund transformations
Frobenius sinh-Gordon equation
Nonlocal symmetry
url http://link.springer.com/article/10.1186/s13662-018-1737-1
work_keys_str_mv AT huijuanzhou nonlocalsymmetriesoffrobeniussinhgordonsystems
AT chuanzhongli nonlocalsymmetriesoffrobeniussinhgordonsystems
AT xinyueli nonlocalsymmetriesoffrobeniussinhgordonsystems
AT fushanli nonlocalsymmetriesoffrobeniussinhgordonsystems
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