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Two Nonisospectral Integrable Hierarchies and its Integrable Coupling

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Abstract

In this paper we deduce two nonisospectral integrable hierarchies based on a Lie algebra F. To generating two expanding nonisospectral integrable hierarchies of the nonisospectral hierarchy, we introduce two complex-number Lie algebras which are produced by the Lie algebra F. Additionally, we study the Hamiltonian structure of the nonisospectral integrable hierarchies and the expanding nonisospectral integrable hierarchies.

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Funding

This work was supported by the National Natural Science Foundation of China (grant No.11971475).

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Authors and Affiliations

  1. School of Mathematics, China University of Mining and Technology, Xuzhou, Jiangsu, 221116, People’s Republic of China

    Haifeng Wang & Yufeng Zhang

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  1. Haifeng Wang
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  2. Yufeng Zhang
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Correspondence to Yufeng Zhang.

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Wang, H., Zhang, Y. Two Nonisospectral Integrable Hierarchies and its Integrable Coupling. Int J Theor Phys 59, 2529–2539 (2020). https://doi.org/10.1007/s10773-020-04519-9

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  • DOI: https://doi.org/10.1007/s10773-020-04519-9

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