Closed-form solutions to the perturbed NLSE with Kerr law nonlinearity in optical fibers

Abstract

We implement an efficient solver to achieve solutions for the perturbed nonlinear Schrödinger’s equation with Kerr law nonlinearity. This solver gives closed-form wave structures of the solutions. Namely, various kinds of solutions are achieved. These solutions may be applicable for some physical fields, like optical fibers, plasma fluids and biomolecular dynamical modes. The proposed approach is straightforward, sturdy and fruitful to retrieve some new solutions for nonlinear partial differential equations in mathematical physics. Some figures are plotted for suitable values of the parameters to describe the propagation of traveling wave solutions.

Keywords

• Perturbed nonlinear Schrodinger’s equation
• Optical solutions
• Closed-form solutions
• Elliptic functions
• Physical phenomena