Optical solitons having anti-cubic nonlinearity with a couple of exotic integration schemes

This paper investigates the soliton solutions to nonlinear Schrödinger's equation (NLSE) with anti-cubic nonlinearity in optical fibers. The complex form of the NLSE has been reduced to nonlinear ordinary differential equation (ODE) using wave transformation. Then, two techniques, namely, improved projective Riccati equations method and extended Fan's sub-equation method have been implemented to solve the ODE. As a result, various types of solitons such as bright, dark, singular, dark-singular combo optical soliton solutions are obtained along with other solutions.