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Supersymmetric structure of the Kadomtsev-Petviashvili equation: Connection between supersymmetry and Bäcklund transformations

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Publication:1204571
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DOI10.1007/BF01017338zbMath0806.35151OpenAlexW2078529802MaRDI QIDQ1204571

M. V. Shmakova, V. A. Andreev, S. M. Kharchev

Publication date: 11 March 1993

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01017338


zbMATH Keywords

supersymmetryMiura transformationBäcklund transformation


Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Invariance and symmetry properties for PDEs on manifolds (58J70) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)





Cites Work

  • Unnamed Item
  • Dynamical breaking of supersymmetry
  • Lower Korteweg-de Vries equations and supersymmetric structure of the sine-Gordon and Liouville equations
  • Eigenfunction equations in Sato theory
  • On SSQM and the U(N) non-linear Schrodinger equation
  • On the integrability of modified Lax equations




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