A first integral for a class of time-dependent anharmonic oscillators with multiple anharmonicities

DOI10.1063/1.529625zbMath0761.34006OpenAlexW2027754631MaRDI QIDQ4027875

Peter G. L. Leach, Sunil D. Maharaj

Publication date: 9 March 1993

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

Full work available at URL: https://doi.org/10.1063/1.529625

zbMATH Keywords

integrabilityelectromagnetic fieldgeneral relativityquadratureelliptic integralsshear-free fluidscharged plasma in an axially symmetric magnetic fieldLie point symmetry analysisshear-free spherically symmetric gravitational fields

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Explicit solutions, first integrals of ordinary differential equations (34A05) Motion of charged particles (78A35)

Related Items (1)

Exact solutions for the quintic nonlinear Schrödinger equation with inhomogeneous nonlinearity

Cites Work

• Shear-free spherically symmetric solutions with conformal symmetry
• A new interior solution of Einstein's field equations for a spherically symmetric perfect fluid in shear-free motion
• First integrals for the modified Emden equation q̈+α(t) q̇+q n =0
• On spherically symmetric shear-free perfect fluid configurations (neutral and charged). I
• Exact solutions for shear-free motion of spherically symmetric perfect fluid distributions in general relativity
• Shear-free normal cosmological models
• An exact invariant for a class of time-dependent anharmonic oscillators with cubic anharmonicity

This page was built for publication: A first integral for a class of time-dependent anharmonic oscillators with multiple anharmonicities