User:Tyrkennelly/sandbox

Sinh-Poisson Equation
The sinh-Poisson equation is a nonlinear hyperbolic partial differential equation in 1 + n dimensions involving the d'Alembert operator and the sinh of the unknown function. This equation attracted a lot of attention in the 1970s due to its applications in charge density and vortices field of plasmas.

The equation takes the form:

$$\nabla^2u+ \sinh u = 0$$

where u = u(x, t) or u = u(x, y, t) is a scalar function defined on the line or the plane.