Symmetry, full symmetry groups, and some exact solutions to a generalized Davey–Stewartson system

DOI10.1063/1.2993975zbMath1152.81527OpenAlexW2062035941MaRDI QIDQ5505080

Yong Chen, Wang-Chuan Ye, Biao Li

Publication date: 23 January 2009

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

Full work available at URL: https://doi.org/10.1063/1.2993975

Mathematics Subject Classification ID

Related Items (5)

Variable coefficient Davey-Stewartson system with a Kac-Moody-Virasoro symmetry algebra ⋮ Exact solutions of supersymmetric Burgers equation with bosonization procedure ⋮ Breather, lump, and interaction solutions to a nonlocal KP system ⋮ Soliton molecules and full symmetry groups to the KdV-Sawada-Kotera-Ramani equation ⋮ Symmetry group and exact solutions for the 2+1 dimensional Ablowitz–Kaup–Newell–Segur equation

Cites Work

• Two-dimensional wave packets in an elastic solid with couple stresses
• Some special solutions of a generalized Davey-Stewartson system
• Finite symmetry transformation groups and exact solutions of Lax integrable systems
• Closing the gap in the purely elliptic generalized Davey-Stewartson system
• Generalized Kadomtsev-Petviashvili equation with an infinite-dimensional symmetry algebra
• Two remarks on a generalized Davey-Stewartson system
• Standing waves for a generalized Davey–Stewartson system
• The generalized Davey-Stewartson equations, its Kac-Moody-Virasoro symmetry algebra and relation to Davey-Stewartson equations
• New similarity reductions of the Boussinesq equation
• A GENERALIZED SUB-EQUATION EXPANSION METHOD AND ITS APPLICATION TO THE NONLINEAR SCHRÖDINGER EQUATION IN INHOMOGENEOUS OPTICAL FIBER MEDIA
• 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
• Non-Lie symmetry groups of (2+1)-dimensional nonlinear systems obtained from a simple direct method
• On three-dimensional packets of surface waves
• Equations of arbitrary order invariant under the Kadomtsev–Petviashvili symmetry group

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