Stochastic perturbation of analytical solutions for the dispersive concatenation model with spatio-temporal dispersion having multiplicative white noise

We present distinct types of analytical waveform solutions of the dispersive concatenation model which involves spatio-temporal dispersion, Hamiltonian perturbation terms and multiplicative white noise. The including high-order dispersion terms have important practical applications in nonlinear fiber optics, ocean waves and the Heisenberg spin chain. The obtained waveforms comprise solutions involving the Weierstrass function, periodic solutions, doubly periodic solutions, and soliton solutions, illustrating the potentially rich set of localized and periodic wave solutions of the studied model. It is found that the system support the existence of different kinds of soliton solutions including bright, dark, singular, dark-singular combo soliton, and bright-dark combo solitons. The physical meanings of these solutions and constraint conditions for their existence in the nonlinear medium are also determined. By choosing suitable values of the parameters, the obtained structures are also illustrated graphically. The results demonstrate that the phase component of the newly found wave solutions exhibit a nontrivial form containing the white noise.