  We present a new generalized string model for Regge trajectories J=J(E^2),
where J and E are the orbital momentum and energy of the string, respectively.
We demonstrate that this model is not to produce linear Regge trajectories, in
contrast to the standard Nambu-Goto string, but generally nonlinear
trajectories, which in many cases can be given in analytic form. As an example,
we show how the model generates square-root, logarithmic and hyperbolic
trajectories that have been discussed in the literature.
