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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Online Access: | http://link.springer.com/article/10.1186/s13662-018-1737-1 |
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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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1725412219463663616 |