The current study is concerned with a (3 + 1)-dimensional resonant nonlinear Schrödinger (3D-RNLS) equation with diverse applications in nonlinear optics and its exact solutions. In this regard, by adopting the new expansion methods based on the Jacobi elliptic equation, a number of exact solutions in terms of Jacobi elliptic and exponential functions to the 3D-RNLS equation with Kerr law nonlinearity are formally constructed. The outcomes of this paper undoubtedly demonstrate the impressive capability of the new expansion methods to deal with nonlinear Schrödinger equations.
