  We demonstrate a kind of linear superposition for a large number of nonlinear
equations, both continuum and discrete. In particular, we show that whenever a
nonlinear equation admits solutions in terms of Jacobi elliptic functions
$\cn(x,m)$ and $\dn(x,m)$, then it also admits solutions in terms of their sum
as well as difference, i.e. $\dn(x,m) \pm \sqrt{m}\, \cn(x,m)$. Further, we
also show that whenever a nonlinear equation admits a solution in terms of
$\dn^2(x,m)$, it also has solutions in terms of $\dn^2(x,m) \pm \sqrt{m}\,
\cn(x,m)\, \dn(x,m)$ even though $\cn(x,m)\, \dn(x,m)$ is not a solution of
that nonlinear equation. Finally, we obtain similar superposed solutions in
coupled theories.
