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Sinh-Poisson Equation

The partial differential equation

del ^2u+lambda^2sinhu=0,

where del ^2 is the Laplacian (Ting et al. 1987; Zwillinger 1997, p. 135).

See also

Sinh-Gordon Equation

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References

Ting, A. C.; Cheb, H. H.; and Lee, Y. C. "Exact Solutions of a Nonlinear Boundary Value Problem: The Vortices of the Two-Dimensional Sinh-Poisson Equation." Physica D, 37-66, 1987.Zwillinger, D. Handbook of Differential Equations, 3rd ed. Boston, MA: Academic Press, p. 135, 1997.

Referenced on Wolfram|Alpha

Sinh-Poisson Equation

Cite this as:

Weisstein, Eric W. "Sinh-Poisson Equation." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Sinh-PoissonEquation.html

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