Lagrangian perturbations theory : Third-order solution for general dark
  energy models
  We investigate the Lagrangian perturbation theory of a general dark energy
models with a constant equation of state, \omega, and derive the fitting form
of the fastest growing mode solutions up to the third order. These fitting
forms are less than few % errors compared to the numerical calculation. We also
correct the solutions of Einstein-de Sitter and the open universe with the
proper initial conditions and the correct consideration for the growing mode
solutions in order to compare with the general dark energy models. Even though
these fitting forms are limited to the constant equation of state models, one
can apply these to the time-varying \omega by interpolating between models with
the constant \omega. These fitting forms can be used for the correct prediction
for the two point correlation function and can give the proper predictions for
the different dark energy models.
