Optical devices: motion via breathers, rogue waves and rational solitons

The main focus is on using the logarithmic transformation and symbolic computation with ansatz functions scheme to analyse solitons theoretically in the ring-cavity fibre laser system with carbon nanotubes acting as saturable absorber. The system is renowned as a non-standard Schrödinger model through the coefficients combined real and imaginary numbers. The governing model is used in ring-cavity fibre laser system using carbon nanotubes as saturable absorbers. We obtained Chirp-free soliton, Homoclinic breathers, M-shaped rational solitons, Multiwaves and their dynamics are revealed in plots by choosing the proper values of parameters. Additionally, four categories of interaction of M-shaped rational soliton with rogue wave, periodic wave and kink wave are studied. we accomplished the new structures and very fascinating interactional phenomena of M shaped soliton with kink waves. Furthermore, through a mixture of quadratic, cosine and hyperbolic transformations we obtained periodic cross rational solutions and via three wave transformation we generated multiwave solutions.