A nonlinear differential equation related to the Jacobi elliptic functions

DOI10.1155/2012/412569zbMath1269.34005OpenAlexW2127011542WikidataQ58702777 ScholiaQ58702777MaRDI QIDQ1953671

Kim Johannessen

Publication date: 10 June 2013

Published in: International Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/412569

zbMATH Keywords

Jacobi elliptic functionsPoisson Boltzmann

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Explicit solutions, first integrals of ordinary differential equations (34A05) Elliptic functions and integrals (33E05) Boltzmann equations (35Q20)

Related Items (3)

The exact solution to the one-dimensional Poisson-Boltzmann equation with asymmetric boundary conditions ⋮ Perturbation solutions for the nonlinear Poisson-Boltzmann equation with a high-order-accuracy Debye-Hückel approximation ⋮ Multidomain Chebyshev pseudo-spectral method applied to the Poisson-Boltzmann equation for two parallel plates

Cites Work

• Unnamed Item
• Vortex arrays for sinh-Poisson equation of two-dimensional fluids: Equilibria and stability
• Solution of the anharmonic quartic potential oscillator problem
• New Jacobi elliptic function expansion and new periodic solutions of nonlinear wave equations

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