The transformations between N = 2 supersymmetric Korteweg-de Vries and Harry Dym equations

DOI10.1063/1.4711770zbMath1275.81048arXiv1108.2110OpenAlexW3101762692MaRDI QIDQ2862895

Kai Tian, Qing-Ping Liu

Publication date: 20 November 2013

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

Full work available at URL: https://arxiv.org/abs/1108.2110

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Supersymmetric field theories in quantum mechanics (81T60) Supersymmetry and quantum mechanics (81Q60)

Related Items (6)

Four super integrable equations: nonlocal symmetries and applications ⋮ Two new supersymmetric equations of harry dym type and their supersymmetric reciprocal transformations ⋮ A novel Hirota bilinear approach to N = 2 supersymmetric equations ⋮ A N = 2 extension of the Hirota bilinear formalism and the supersymmetric KdV equation ⋮ Supersymmetric integrable systems associated with KdV and MKdV equations ⋮ Supersymmetric Euler equations associated to the N ≤ 3 Neveu-Schwarz algebra

Cites Work

• The even and odd supersymmetric Hunter-Saxton and Liouville equations
• Bilinear approach to \(N = 2\) supersymmetric KdV equations
• Quantum OSP-invariant nonlinear Schrödinger equation
• The bi-Hamiltonian structure of fully supersymmetric Korteweg-de Vries systems
• Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation
• A 2-component or \(N=2\) supersymmetric Camassa-Holm equation
• The Painlevé analysis for N=2 super Korteweg–de Vries equations
• Deformations ofN= 2 superconformal algebra and supersymmetric two-component Camassa–Holm equation
• The abundant symmetry structure of hierarchies of nonlinear equations obtained by reciprocal links
• A new N=2 supersymmetric Korteweg–de Vries equation
• Supersymmetric extensions of the Harry Dym hierarchy
• Supersymmetric reciprocal transformation and its applications

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