Abstract
The objective of this paper is to discuss the optical soliton solutions of the (2+1)-dimensional nonlinear Schrödinger equation (NLSE) having the spatio-temporal dispersion (STD) and multiplicative white noise via Itô sense. Five nonlinear forms will be studied namely, Kerr law, power law, parabolic law, dual-power law and polynomial law.
The used method is the new auxiliary equation method.
Dark, bright and singular soliton solutions are obtained for the given equations.
•The objective of this paper is to discuss the optical soliton solutions of the (2+1)-dimensional nonlinear Schrödinger equation (NLSE) having the spatio-temporal dispersion (STD) and multiplicative white noise via Itô sense.•Five nonlinear forms will be studied namely, Kerr law, power law, parabolic law, dual-power law and polynomial law.•The used method is the new auxiliary equation method.•Dark, bright and singular soliton solutions are obtained.