General Jacobi elliptic function expansion method applied to the generalized (3 + 1)-dimensional nonlinear Schroedinger equation

摘要

We generalize the Jacobi elliptic function expansion method used to solve the (3 + 1)-dimensional nonlinear Schroedinger equation for the case of an arbitrary inverse of an elliptic integral. Among the obtained solutions are functions based on the Weierstrass elliptic function and the inverses of Carlson's elliptic integrals.