Exact solutions of a nonlinear boundary value problem: The vortices of the two-dimensional sinh-Poisson equation

Using an extension of the inverse scattering method, we have succeeded in solving a nonlinear boundary value problem, namely, the sinh-Poisson equation with a zero boundary condition on a square. The solutions are equilibrium states of vortices in fluids or plasmas.

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Bibliographic Details
Published in:Physica. D 1987-05, Vol.26 (1), p.37-66
Main Authors: Ting, A.C., Chen, H.H., Lee, Y.C.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Function theory, analysis
Mathematical methods in physics
Physics
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Summary:Using an extension of the inverse scattering method, we have succeeded in solving a nonlinear boundary value problem, namely, the sinh-Poisson equation with a zero boundary condition on a square. The solutions are equilibrium states of vortices in fluids or plasmas.
ISSN:0167-2789
1872-8022
DOI:10.1016/0167-2789(87)90214-4