Optical solitons with spatio-temporal dispersion by G′ /G-Expansion method

This paper applies the G' /G-expansion algorithm to obtain optical soliton solutions to the governing nonlinear Schrödinger's equation that is considered with spatio-temporal dispersion. There are four forms of nonlinear media that are being studied. They are Kerr law, power law, parabolic law and dual-power law. These soliton solutions will exist provided the constraints, that naturally emerge from the computation, remain valid.