Kudryashov and Sinelshchikov's method for solving the radial oscillation problem of multielectron bubbles in liquid helium

DOI10.1007/S10910-020-01145-YzbMath1447.82036OpenAlexW3035039712MaRDI QIDQ780352

Yupeng Qin, Li Zou, Zhen Wang, Qing-Jun Lou

Publication date: 15 July 2020

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

Full work available at URL: https://doi.org/10.1007/s10910-020-01145-y

zbMATH Keywords

analytical solutionSundman transformationWeierstrass elliptic functionRayleigh equationmultielectron bubble in liquid helium

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Statistical mechanics of superfluids (82D50) Elliptic functions and integrals (33E05) Euler equations (35Q31)

Related Items (1)

Differential transform method for the solutions to some initial value problems in chemistry

Cites Work

• Unnamed Item
• On the connection of the quadratic Liénard equation with an equation for the elliptic functions
• Parametric analytical solution for the \(N\)-dimensional Rayleigh equation
• Homotopy analysis method for the Rayleigh equation governing the radial dynamics of a multielectron bubble
• Analytical solution for the collapse motion of an empty hyper-spherical bubble in \(N\) dimensions
• A note on the generalized Rayleigh equation: limit cycles and stability
• Bubbles
• Semi-Numerical, Semi-Analytical Approximations of the Rayleigh Equation for Gas-Filled Hyper-Spherical Bubble
• Dynamics of the Rayleigh–Plesset equation modelling a gas-filled bubble immersed in an incompressible fluid

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