\(N=2\) super KdV and super sine-Gordon equations based on Lie super algebra \(A(1,1)^{(1)}\).

DOI10.1016/0550-3213(91)90297-BzbMath1098.37538MaRDI QIDQ851065

Hiroaki Kanno, Takeo Inami

Publication date: 10 November 2006

Published in: Nuclear Physics. B (Search for Journal in Brave)

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Virasoro and related algebras (17B68) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

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Cites Work

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• Classical and quantum extended superconformal algebra.
• Lie algebras and equations of Korteweg-de Vries type
• Lie superalgebraic approach to super Toda lattice and generalized super KdV equations
• Exactly and completely integrable nonlinear dynamical systems
• A new N=2 supersymmetric Korteweg–de Vries equation
• Lie superalgebras