Nonlinear superposition, higher-order nonlinear equations, and classical linear invariants

DOI10.1063/1.525409zbMath0516.34010OpenAlexW2022868705MaRDI QIDQ3663648

John R. Ray, James L. Reid

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1063/1.525409

zbMATH Keywords

superposition principle

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34)

Related Items

Dynamical algebraic approach and invariants for time-dependent Hamiltonian systems in two dimensions, Canonical transformations and exact invariants for dissipative systems, Stability and periodicity in coupled Pinney equations, Two-dimensional time-dependent Hamiltonian systems with an exact invariant

Cites Work

• A nonlinear superposition principle admitted by coupled Riccati equations of the projective type
• Noether’s theorem, time-dependent invariants and nonlinear equations of motion