Group analysis of the three-wave resonant system in (2+1) dimensions

DOI10.1063/1.527280zbMath0632.35059OpenAlexW1998432630MaRDI QIDQ3769317

Rosario Antonio Leo, Luigi Martina, Giulio Soliani

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1063/1.527280

zbMATH Keywords

infinite-dimensional Lie algebrainvariant solutionssymmetric algebragroup frameworkthree-wave resonant interaction equations

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (5)

Lie algebra symmetry analysis of the Helfrich and Willmore surface shape equations ⋮ On the infinite-dimensional symmetry group of the Davey–Stewartson equations ⋮ Second harmonic generation: Hamiltonian structures and particular solutions ⋮ Method for Solving the Multidimensional n-Wave Resonant Equations and Geometry of Generalized Darboux-Manakov-Zakharov Systems ⋮ Analysis and applications of the symmetry group of the multidimensional three-wave resonant interaction problem

Cites Work

• Prolongation structures of nonlinear evolution equations
• Prolongation structures of nonlinear evolution equations. II
• On three-dimensional packets of surface waves

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