Sine-Gordon equation
= Sine-Gordon equation
{wiki=Sine-Gordon_equation}
The sine-Gordon equation is a nonlinear partial differential equation of the form: \\\[ \\frac\{\\partial^2 \\phi\}\{\\partial t^2\} - \\frac\{\\partial^2 \\phi\}\{\\partial x^2\} + \\sin(\\phi) = 0 \\\] where \\(\\phi\\) is a function of two variables, time \\(t\\) and spatial coordinate \\(x\\).