On the forcing and collapsing properties of a nonlinear random two-dimensional Schrödinger model in applied physics

We created novel stochastic solitary structures for the system mode of nonlinear random two-dimension Schrödinger equation (NTDNLSE) with sources term via Wiener process using the unified solver technique. For stochastic shocks, breathers, explosions, dissipated dark solitons, and blow-up solution waves, the forcing and collapsing characteristics in random NTDNLSE have been examined. The impacts of random factor on magnitude and behavior of the obtained solutions have been examined. It was reported that the possibility of the rapid wave collapsing and transformation of solitonic waves into dissipative collapsing forms rises with the random parameter. Accordingly, the source term coefficient modulates the damping and forcing random wave characteristics. Our results demonstrate that the suggested solver is accurate and efficient enough to tackle many different models occurring in applied science.