Invariant algebraic surfaces for the reduced three-wave interaction system

DOI10.1063/1.3672193zbMath1273.34017OpenAlexW2008852947MaRDI QIDQ2853583

Claudia Valls, Adam Mahdi

Publication date: 16 October 2013

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

Full work available at URL: https://doi.org/10.1063/1.3672193

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Nonlinear ordinary differential equations and systems (34A34) Invariant manifolds for ordinary differential equations (34C45)

Related Items (3)

Invariant Algebraic Surfaces and Hopf Bifurcation of a Finance Model ⋮ Integrability analysis of the Shimizu-Morioka system ⋮ Dynamical analysis of a two prey-one predator system with quadratic self interaction

Cites Work

• Integrals of motion of the reduced three-wave interaction system
• On the complete and partial integrability of non-Hamiltonian systems
• Invariant algebraic surfaces of the Rikitake system
• Integrability of the Bianchi IX system
• Integrals of motion for three-dimensional non-Hamiltonian dynamical systems
• Lie symmetries for the reduced three-wave interaction problem

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