Point symmetries of conditionally integrable nonlinear evolution equations

DOI10.1063/1.528660zbMath0722.58026OpenAlexW2042293579MaRDI QIDQ3209902

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Publication date: 1990

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

Full work available at URL: https://doi.org/10.1063/1.528660

zbMATH Keywords

Kadomtsev-Petviashvili equationLie point symmetryJimbo-Miwa equation

Mathematics Subject Classification ID

Related Items (7)

Lump-type solutions to the \((3+1)\)-dimensional Jimbo-Miwa equation ⋮ A transformed rational function method and exact solutions to the \(3+1\) dimensional Jimbo-Miwa equation ⋮ Generalized W∞ symmetry algebra of the conditionally integrable nonlinear evolution equation ⋮ Higher-dimensional dromion structures: Jimbo–Miwa–Kadomtsev–Petviashvili system ⋮ Algebra of pseudodifferential operators and symmetries of equations in the Kadomtsev–Petviashvili hierarchy ⋮ Solutions of Jimbo-Miwa equation and Konopelchenko-Dubrovsky equations ⋮ Generalized Wronskian solutions for the \((3+1)\)-dimensional Jimbo-Miwa equation

Cites Work

• Automatically determining symmetries of partial differential equations
• Solitons and infinite dimensional Lie algebras
• Analysis and applications of the symmetry group of the multidimensional three-wave resonant interaction problem
• Non-classical symmetry reduction: example of the Boussinesq equation
• The Painlevé property for partial differential equations
• Symmetry reduction for the Kadomtsev–Petviashvili equation using a loop algebra
• Are all the equations of the Kadomtsev–Petviashvili hierarchy integrable?
• Group-Invariant Solutions of Differential Equations
• KAC-MOODY AND VIRASORO ALGEBRAS IN RELATION TO QUANTUM PHYSICS
• On the infinite-dimensional symmetry group of the Davey–Stewartson equations
• Continuous subgroups of the fundamental groups of physics. I. General method and the Poincaré group
• Continuous subgroups of the fundamental groups of physics. III. The de Sitter groups

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