Exact analytical solution of a mechanical oscillator for phase transition involving spatially inhomogeneous distribution of the order parameter

DOI10.1002/MMA.7089zbMath1481.34004OpenAlexW3120204645MaRDI QIDQ5159609

Chinwuba Victor Ossia, Emmanuel Ogheneochuko Ekpruke, Akuro Big-Alabo

Publication date: 28 October 2021

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.7089

zbMATH Keywords

pattern formation phase transition exact analytical solution nonlinear oscillator elliptic integral of the third kind coordinate-dependent mass

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Explicit solutions, first integrals of ordinary differential equations (34A05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Elliptic integrals as hypergeometric functions (33C75)

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