The even and odd supersymmetric Hunter-Saxton and Liouville equations

DOI10.1016/j.physleta.2010.10.033zbMath1241.35180arXiv1005.3109OpenAlexW2011016935MaRDI QIDQ430548

Kai Tian, Ziemowit Popowicz, Qing-Ping Liu

Publication date: 26 June 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.3109

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) Supersymmetry and quantum mechanics (81Q60) PDEs in connection with mechanics of particles and systems of particles (35Q70)

Related Items (4)

The tri-Hamiltonian dual system of supersymmetric two boson system ⋮ Two new supersymmetric equations of harry dym type and their supersymmetric reciprocal transformations ⋮ Supersymmetric integrable systems associated with KdV and MKdV equations ⋮ The transformations between N = 2 supersymmetric Korteweg-de Vries and Harry Dym equations

Cites Work

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• A supersymmetric Sawada-Kotera equation
• Odd Hamiltonian structure for supersymmetric Sawada-Kotera equation
• Super-extensions of energy dependent Schrödinger operators
• A bi-Hamiltonian supersymmetric geodesic equation
• The bi-Hamiltonian structure of fully supersymmetric Korteweg-de Vries systems
• Dynamics of Director Fields
• An integrable shallow water equation with peaked solitons
• Supersymmetric extensions of the Harry Dym hierarchy
• Supersymmetric reciprocal transformation and its applications

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