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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Haifeng Wang & Yufeng Zhang, 2020. "Generating of Nonisospectral Integrable Hierarchies via the Lie-Algebraic Recursion Scheme," Mathematics, MDPI, vol. 8(4), pages 1-11, April.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:4:p:621-:d:346716
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    References listed on IDEAS

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    1. Qiao, Zhijun, 1998. "New hierarchies of isospectral and non-isospectral integrable NLEEs derived from the Harry–Dym spectral problem11The Project Partly Supported by NNSFC and PMTPPC," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 252(3), pages 377-387.
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