New generalized ϕ6-model expansion method and its applications to the (3+1) dimensional resonant nonlinear Schrödinger equation with parabolic law nonlinearity

Abstract

In this paper, a new generalized ϕ6-model expansion method is proposed for the first time to construct optical solitons and other solutions of the (3+1) dimensional resonant nonlinear Schrödinger equation with parabolic law nonlinearity, which describes the propagation of optical pulse in nonlinear optical fibers. The generalized Jacobi elliptic function solutions and Weierstrass elliptic function solutions have been found. In particular, hyperbolic function solutions and periodic solutions are also obtained.