The generalized Davey-Stewartson equations, its Kac-Moody-Virasoro symmetry algebra and relation to Davey-Stewartson equations

DOI10.1063/1.2162147zbMath1111.35075arXivnlin/0606055OpenAlexW3102041541MaRDI QIDQ3438759

Ö. Aykanat, F. Güngör

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0606055

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) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items

Variable coefficient Davey-Stewartson system with a Kac-Moody-Virasoro symmetry algebra, Davey-Stewartson equations in \((3 + 1)\) dimensions with an infinite-dimensional symmetry algebra, Random half-order differential correlation functions, A variable coefficient nonlinear Schrödinger equation with a four-dimensional symmetry group and blow-up, Realizations of the Witt and Virasoro Algebras and Integrable Equations, Symmetry, full symmetry groups, and some exact solutions to a generalized Davey–Stewartson system, Infinite-dimensional symmetries of two-dimensional generalized Burgers equations

Cites Work

• Two-dimensional wave packets in an elastic solid with couple stresses
• Generalized Kadomtsev-Petviashvili equation with an infinite-dimensional symmetry algebra
• REMARKS ON VIRASORO AND KAC–MOODY ALGEBRAS
• Symmetry reduction for the Kadomtsev–Petviashvili equation using a loop algebra
• On the infinite-dimensional symmetry group of the Davey–Stewartson equations
• Global existence and nonexistence results for a generalized Davey–Stewartson system