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

School of Mathematics, China University of Mining and Technology, Xuzhou 221116, China
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Mathematics 2020, 8(4), 621; https://doi.org/10.3390/math8040621
Received: 20 February 2020 / Revised: 10 April 2020 / Accepted: 11 April 2020 / Published: 17 April 2020
(This article belongs to the Section Mathematical Physics)
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. View Full-Text
Keywords: non-isospectral integrable hierarchy; Lie algebra; Hamiltonian structure; symmetry; conserved quantity non-isospectral integrable hierarchy; Lie algebra; Hamiltonian structure; symmetry; conserved quantity
MDPI and ACS Style

Wang, H.; Zhang, Y. Generating of Nonisospectral Integrable Hierarchies via the Lie-Algebraic Recursion Scheme. Mathematics 2020, 8, 621.

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