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On the higher order Heisenberg supermagnet model in (2+1)-dimensions

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  • Yan, Zhaowen
  • Gao, Bian
  • Chen, Minru
  • Cui, Jifeng

Abstract

In this paper we construct the higher order Heisenberg supermagnet models in (2+1)-dimensions by introducing different auxiliary matrix variables. We investigate their structure and integrability with respect to two constraints. By virtue of the gauge transformation, we derive their gauge equivalent counterparts which are the super and fermionic higher order nonlinear Schrödinger equations in (2+1)-dimensions. Furthermore, we obtain their corresponding Bäcklund transformations.

Suggested Citation

  • Yan, Zhaowen & Gao, Bian & Chen, Minru & Cui, Jifeng, 2019. "On the higher order Heisenberg supermagnet model in (2+1)-dimensions," Chaos, Solitons & Fractals, Elsevier, vol. 118(C), pages 94-105.
    • Handle: RePEc:eee:chsofr:v:118:y:2019:i:c:p:94-105
    DOI: 10.1016/j.chaos.2018.11.011
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    References listed on IDEAS

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    1. Du, Zhong & Tian, Bo & Chai, Han-Peng & Sun, Yan & Zhao, Xue-Hui, 2018. "Rogue waves for the coupled variable-coefficient fourth-order nonlinear Schrödinger equations in an inhomogeneous optical fiber," Chaos, Solitons & Fractals, Elsevier, vol. 109(C), pages 90-98.
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    Cited by:

    1. Jiang, Nana & Zhang, Meina & Guo, Jiafeng & Yan, Zhaowen, 2020. "Fifth-order generalized Heisenberg supermagnetic models," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).

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