Generating of Nonisospectral Integrable Hierarchies via the Lie-Algebraic Recursion Scheme

Haifeng Wang and Yufeng Zhang
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Haifeng Wang: School of Mathematics, China University of Mining and Technology, Xuzhou 221116, China
Yufeng Zhang: School of Mathematics, China University of Mining and Technology, Xuzhou 221116, China

Mathematics, 2020, vol. 8, issue 4, 1-11

Abstract: In the paper, we introduce an efficient method for generating non-isospectral integrable hierarchies, which can be used to derive a great many non-isospectral integrable hierarchies. Based on the scheme, we derive a non-isospectral integrable hierarchy by using Lie algebra and the corresponding loop algebra. It follows that some symmetries of the non-isospectral integrable hierarchy are also studied. Additionally, we also obtain a few conserved quantities of the isospectral integrable hierarchies.

Keywords: non-isospectral integrable hierarchy; Lie algebra; Hamiltonian structure; symmetry; conserved quantity (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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