Nonlinear Schrödinger equations and Virasoro algebra

DOI10.1016/j.chaos.2005.10.054zbMath1138.37328arXivhep-th/0601187OpenAlexW1988841448MaRDI QIDQ927342

Elsie Sterbin Gottlieb

Publication date: 5 June 2008

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0601187

zbMATH Keywords

coupled nonlinear Schrödinger equationsAKNS schemesoliton connection

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Applications of Lie algebras and superalgebras to integrable systems (17B80) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Related Items

Lie super-bialgebra structures on the Ramond \(N = 2\) super-Virasoro algebra

Cites Work

• Strings in less than one dimension and the generalized KdV hierarchies
• Nonlinear Schrödinger equations and simple Lie algebras
• The soliton connection
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• Lie symmetries of Hirota’s bilinear equations
• Symmetries of the Kadomtsev-Petviashvili equation
• Nonperturbative two-dimensional quantum gravity
• Virasoro structure and localized excitations of the LKR system