Generating nonisospectral integrable hierarchies via a new scheme

Abstract In the paper, an efficient and straightforward method for generating nonisospectral integrable hierarchies is introduced. It follows that we consider the application related to Lie algebra gl ( 3 ) $\operatorname{gl}(3)$ based on the method. Then, we derive a nonisospectral integrable hiera...

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Main Authors: Haifeng Wang, Yufeng Zhang
Format: Article
Language:English
Published: SpringerOpen 2020-04-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-020-02600-5
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author Haifeng Wang
Yufeng Zhang
author_facet Haifeng Wang
Yufeng Zhang
author_sort Haifeng Wang
collection DOAJ
description Abstract In the paper, an efficient and straightforward method for generating nonisospectral integrable hierarchies is introduced. It follows that we consider the application related to Lie algebra gl ( 3 ) $\operatorname{gl}(3)$ based on the method. Then, we derive a nonisospectral integrable hierarchy whose some new symmetries are also investigated. In addition, a few conserved quantities of the nonisospectral integrable hierarchies are also obtained.
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spelling doaj.art-2f5c6b15e03546cc92c8645582199a132022-12-22T03:16:24ZengSpringerOpenAdvances in Difference Equations1687-18472020-04-012020111310.1186/s13662-020-02600-5Generating nonisospectral integrable hierarchies via a new schemeHaifeng Wang0Yufeng Zhang1School of Mathematics, China University of Mining and TechnologySchool of Mathematics, China University of Mining and TechnologyAbstract In the paper, an efficient and straightforward method for generating nonisospectral integrable hierarchies is introduced. It follows that we consider the application related to Lie algebra gl ( 3 ) $\operatorname{gl}(3)$ based on the method. Then, we derive a nonisospectral integrable hierarchy whose some new symmetries are also investigated. In addition, a few conserved quantities of the nonisospectral integrable hierarchies are also obtained.http://link.springer.com/article/10.1186/s13662-020-02600-5Nonisospectral integrable hierarchyLie algebrasHamiltonian structureSymmetries
spellingShingle Haifeng Wang
Yufeng Zhang
Generating nonisospectral integrable hierarchies via a new scheme
Advances in Difference Equations
Nonisospectral integrable hierarchy
Lie algebras
Hamiltonian structure
Symmetries
title Generating nonisospectral integrable hierarchies via a new scheme
title_full Generating nonisospectral integrable hierarchies via a new scheme
title_fullStr Generating nonisospectral integrable hierarchies via a new scheme
title_full_unstemmed Generating nonisospectral integrable hierarchies via a new scheme
title_short Generating nonisospectral integrable hierarchies via a new scheme
title_sort generating nonisospectral integrable hierarchies via a new scheme
topic Nonisospectral integrable hierarchy
Lie algebras
Hamiltonian structure
Symmetries
url http://link.springer.com/article/10.1186/s13662-020-02600-5
work_keys_str_mv AT haifengwang generatingnonisospectralintegrablehierarchiesviaanewscheme
AT yufengzhang generatingnonisospectralintegrablehierarchiesviaanewscheme