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TASK Quarterly
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  3. Vol. 20 No. 2 (2016)
  4. WHEN THE SUPERSYMMETRY IS NOT ENOUGH: THE PARASUPERSYMMETRIC ALGEBRAS OF THE BOUSSINESQ EQUATIONS

WHEN THE SUPERSYMMETRY IS NOT ENOUGH: THE PARASUPERSYMMETRIC ALGEBRAS OF THE BOUSSINESQ EQUATIONS

Abstract

In this article we look at a conundrum that the Boussinesq-type equations pose for mathematicians allowing a Miura-type transformation while at the same time exhibiting no trace of a supersymmetric structure. We demonstrate that this riddle should be unraveled by dropping the standard supersymmetric approach in favor of its generalization: the “parasupersymmetry”.

Keywords:

supersymmetry, Boussinesq equation

Details

Issue
Vol. 20 No. 2 (2016)
Section
Research article
Published
2016-06-30
DOI:
https://doi.org/10.17466/TQ2016/20.2/T
Licencja:
Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Author Biographies

ALLA A. YUROVA,
Immanuel Kant Baltic Federal University, Department of Physics and Technology; Kaliningrad State Technical University, Mathematics Department



ARTEM V. YUROV,
Immanuel Kant Baltic Federal University, Department of Physics and Technology



VALERIAN A. YUROV,
Immanuel Kant Baltic Federal University, Department of Physics and Technology



Authors

  • ALLA A. YUROVA

    Immanuel Kant Baltic Federal University, Department of Physics and Technology; Kaliningrad State Technical University, Mathematics Department

  • ARTEM V. YUROV

    Immanuel Kant Baltic Federal University, Department of Physics and Technology

  • VALERIAN A. YUROV

    Immanuel Kant Baltic Federal University, Department of Physics and Technology

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