Optical solitons in nano-fibers with spatio-temporal dispersion by trial solution method

This paper utilizes trial solution algorithm to secure optical soliton solutions to the nonlinear Schrödinger's equation. Bright, dark and singular soliton solutions are obtained to the model that is considered with four forms of nonlinearity. They are Kerr, power, parabolic and dual-power laws. There are constraint conditions that guarantee the existence of these solitons. Additionally, singular periodic solutions are revealed as a by-product of this approach, and these are also listed.