Universal and Integrable Aspects of an Elliptic Vortex Representation in 2+1‐Dimensional Magneto‐Gasdynamics

DOI10.1111/j.1467-9590.2012.00559.xzbMath1308.76336OpenAlexW1825639793MaRDI QIDQ4917504

Hong-Li An, Wolfgang K. Schief, Colin Rogers

Publication date: 30 April 2013

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/j.1467-9590.2012.00559.x

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Electromagnetic theory (general) (78A25)

Related Items (12)

On a canonical nine-body problem. Integrable Ermakov decomposition via reciprocal transformations ⋮ A Novel Ermakov-Painlevé II System: N+1-Dimensional Coupled NLS and Elastodynamic Reductions ⋮ On \(q\)-Gaussian integrable Hamiltonian reductions in anisentropic magneto-gasdynamics ⋮ The elliptical vortices, integrable Ermakov structure, Schrödinger connection, and Lax pair in the compressible Navier–Stokes equation ⋮ q-Gaussian integrable Hamiltonian reductions in anisentropic gasdynamics ⋮ On integrable Ermakov-Painlevé IV systems ⋮ On a Coupled Nonlinear Schrödinger System: A Ermakov Connection ⋮ On modulated multi-component NLS systems: Ermakov invariants and integrable symmetry reduction ⋮ Hybrid Ermakov-Painlevé IV Systems ⋮ Ermakov-Modulated Nonlinear Schrödinger Models. Integrable Reduction ⋮ On Modulated NLS-Ermakov Systems ⋮ On Dirichlet two-point boundary value problems for the Ermakov-Painlevé IV equation

Cites Work

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• The pulsrodon in 2+1-dimensional magneto-gasdynamics: Hamiltonian structure and integrability
• Ermakov-Ray-Reid Systems in (2+1)-Dimensional Rotating Shallow Water Theory
• Ermakov–Ray–Reid systems in nonlinear optics
• On the integrability of a Hamiltonian reduction of a 2+1-dimensional non-isothermal rotating gas cloud system
• Spinning gas clouds with precession: a new formulation
• Ermakov systems, nonlinear superposition, and solutions of nonlinear equations of motion
• On (2+1)-dimensional Ermakov systems
• A class of accelerated solutions of the two–dimensional ideal magnetohydrodynamic equations
• Elliptical vortices and integrable Hamiltonian dynamics of the rotating shallow-water equations
• The nonlinear differential equation 𝑦”+𝑝(𝑥)𝑦+𝑐𝑦⁻³=0

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