\((3+1)\)-dimensional models with an infinitely dimensional Virasoro type symmetry algebra

DOI10.1016/0375-9601(95)00201-DzbMath1020.81630OpenAlexW1994826167WikidataQ126550881 ScholiaQ126550881MaRDI QIDQ1965538

Ji Lin, Jun Yu, Sen-yue Lou

Publication date: 8 February 2000

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

Full work available at URL: https://doi.org/10.1016/0375-9601(95)00201-d

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (9)

Non-weight modules over algebras related to the Virasoro algebra ⋮ Solving (3+1)-dimensional non-linear Schrödinger equation by means of (3+1)-dimensional Painlevé integrable model ⋮ (2+1)-dimensional (M+N)-component AKNS system: Painlevé integrability, infinitely many symmetries, similarity reductions and exact solutions ⋮ Equations of arbitrary order invariant under the Kadomtsev–Petviashvili symmetry group ⋮ Reduction in the \((4+1)\)-dimensional Fokas equation and their solutions ⋮ Lie symmetry analysis, optimal system and conservation laws of a new (2+1)-dimensional KdV system ⋮ U ( h ) -free modules over the topological N = 2 super-BMS3 algebra ⋮ Painlevé analysis, infinite dimensional symmetry group and symmetry reductions for the (2+1)-dimensional Korteweg–de Vries–Sawada–Kotera–Ramani equation ⋮ Higher dimensional Painlevé integrable models from the Kadomtsev–Petviashvili equation

Cites Work

• Nonlinear equations invariant under the Poincaré, similitude, and conformal groups in two-dimensional space-time
• Lie symmetries of Hirota’s bilinear equations
• Infinitely many symmetries of the Davey-Stewartson equation
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