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Darboux Transformations and Soliton‐Like Solutions of a New System Associated with the Negative AKNS System

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  • Shilong Huang
  • Hongmin Li

Abstract

In this letter, we consider a new two‐component system. By its reciprocal relation with the first negative flow in the AKNS hierarchy, we construct three Darboux‐Bäcklund transformations for the new system and obtain some soliton‐like solutions.

Suggested Citation

  • Shilong Huang & Hongmin Li, 2022. "Darboux Transformations and Soliton‐Like Solutions of a New System Associated with the Negative AKNS System," Advances in Mathematical Physics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jnlamp:v:2022:y:2022:i:1:n:3276320
    DOI: 10.1155/2022/3276320
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    References listed on IDEAS

    as
    1. Huang, Shilong & Li, Hongmin, 2022. "Darboux transformations of the Camassa-Holm type systems," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    2. Wang, Gangwei & Wazwaz, Abdul-Majid, 2022. "On the modified Gardner type equation and its time fractional form," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
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