The extended supersymmetrization of the nonlinear Schrödinger equation

DOI10.1016/0375-9601(94)91296-3zbMath0961.37515arXivhep-th/9406054OpenAlexW1983244904MaRDI QIDQ1965061

Ziemowit Popowicz

Publication date: 6 February 2000

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

Full work available at URL: https://arxiv.org/abs/hep-th/9406054

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Supersymmetric field theories in quantum mechanics (81T60) NLS equations (nonlinear Schrödinger equations) (35Q55)

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Cites Work

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• Quantum OSP-invariant nonlinear Schrödinger equation
• A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy
• The bi-Hamiltonian structure of fully supersymmetric Korteweg-de Vries systems
• \(\text{osp}(3,2)\) and \(\text{gl}(3,3)\) supersymmetric KdV hierarchies
• R-matrices and higher Poisson brackets for integrable systems
• Method for Solving the Korteweg-deVries Equation
• Supersymmetric extension of the Korteweg–de Vries equation
• Supersymmetric extensions of the nonlinear Schrödinger equation: Symmetries and coverings
• The spectral theory of a functional-difference operator in conformal field theory