New exact solutions of two-field inflationary model via Noether symmetries

In this paper, we consider a cosmological model of hyperbolic inflation involving two-scalar fields. By examining the Noether symmetries of the corresponding Lagrangian in the context of a spatially flat Friedmann–Lemaître–Robertson–Walker spacetime, we identify conserved quantities or first integrals corresponding to specific cases. These conserved quantities facilitate the derivation of novel solutions to the field equations, offering new perspectives on the dynamics of two-field inflationary models.