The examination of the concatenation model with spatio-temporal dispersion, Kerr law nonlinearity, and several Hamiltonian perturbation terms, in addition to the influence of multiplicative white noise, is the subject of this paper. The application of two integration approaches allows us the solutions of the model, revealing a comprehensive set of 1-soliton solutions. The enhanced Kudryashov’s mechanism and the Weistrass’ type Riccati’s projective equation approach are the two approaches utilized in this research. Soliton solutions with a unique set of parameter values are obtained through the utilization of Weierstrass elliptic functions, which are derived via the Weistrass’ type Riccati’s projective equation approach.
- White noise