Optical solitons with (2+1)-dimensional nonlinear Schrödinger equation having spatio-temporal dispersion and multiplicative white noise via Itô calculus

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.