Supersymmetric quantum mechanics and the Korteweg–de Vries hierarchy

DOI10.1063/1.530543zbMath0808.35125arXivhep-th/9304139OpenAlexW2064024550MaRDI QIDQ4314202

Aaron K. Grant, Jonathan L. Rosner

Publication date: 20 November 1994

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9304139

zbMATH Keywords

Miura transformation\(\tau\) functionKdV conservation laws

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Supersymmetry and quantum mechanics (81Q60) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

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Cites Work

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• Dynamical breaking of supersymmetry
• On a class of polynomials connected with the Korteweg-de Vries equation
• SOLITONS FROM SUPERSYMMETRY
• CONSTRUCTION OF CONSERVATION LAWS FOR LAX EQUATIONS: COMMENTS ON A PAPER BY G. WILSON
• Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion