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On Construction of a Super Hierarchy of the Wadati‐Konno‐Ichikawa Equation

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  • Xuemei Li
  • Lutong Li

Abstract

In this paper, a super Wadati‐Konno‐Ichikawa (WKI) hierarchy associated with a 3 × 3 matrix spectral problem is derived with the help of the zero‐curvature equation. We obtain the super bi‐Hamiltonian structures by using of the super trace identity. Infinitely, many conserved laws of the super WKI equation are constructed by using spectral parameter expansions.

Suggested Citation

  • Xuemei Li & Lutong Li, 2020. "On Construction of a Super Hierarchy of the Wadati‐Konno‐Ichikawa Equation," Advances in Mathematical Physics, John Wiley & Sons, vol. 2020(1).
    • Handle: RePEc:wly:jnlamp:v:2020:y:2020:i:1:n:6838731
    DOI: 10.1155/2020/6838731
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    References listed on IDEAS

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    1. Yassine Benia & Marianna Ruggieri & Andrea Scapellato, 2019. "Exact Solutions for a Modified Schrödinger Equation," Mathematics, MDPI, vol. 7(10), pages 1-9, September.
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