Abstract
This paper studies optical solitons with parabolic law nonlinearity in presence of nonlinear dispersion. There are three integration tools that are adopted to retrieve soliton solutions. They are the Jacobi's elliptic function method, Riccati's equation approach, and the ansatz scheme. Bright, dark as well as singular solitons are obtained along with their respective constraint conditions. The presented results could be helpful in describing optical solitons propagation in weakly nonlocal parabolic law medium.