Dynamics of optical dromions in concatenation model

Concatenation model assist in optimising the setup for controlling and manipulating the soliton dynamics. Solitons are self-reinforcing solitary waves that maintain their shape and energy over long distances, also have applications in optics and physics. A thorough analysis of the concatenation model, which incorporates a power law nonlinearity, is presented in this work. This investigation also comprises the phenomena of nonlinear chromatic dispersion, which affects optical fibres and other dispersive media that modulates the chromatic dispersion of the material. When nonlinearities like as self-phase modulation and cross-phase modulation are present, the chromatic dispersion coefficient becomes a function of optical intensity. By employing the modified auxiliary mapping scheme, new families of optical dromions (solions) like bright dromion, domain wall, singular, periodic, doubly periodic, trigonometric, rational and hyperbolic solutions etc. are extracted for the suggested model. The two classes of M-shaped analytical rational solutions are also acquired and by selecting the appropriate values for the relevant parameters, their dynamics are visualised in figures. Likewise two different kinds of interactions between M-shaped rational solutions and kink waves are also computed. In addition, we evaluate periodic cross-rational solutions, kink cross-rational solutions, homoclinic breather solutions and multiwaves solutions for the governing model. The derived solutions have confirmed the potency and stability of the current techniques. In addition, certain solutions graphs are also provided to show the physical nature of the derived results.