Multi-Raman soliton self-frequency shifts and dissipative rogue wave trains induced by cubic-quintic-Raman contributions in a double-negative material

We examine the cubic-quintic-Raman influences on the system when the second-order dispersion and the cubic-quintic-nonlinearities act in a double-negative material. This research is done for both absorption and negative index regimes. Using the collective coordinates’ technique, the quintic-nonlinearity induces the generation of Kuznetsov-Ma breathers and Peregrine soliton. Thereafter, the cubic-Raman effect comes into play and breeds the chaotic Peregrine waves’ field, the complex rogue event, and the modified complex rogue event. Therefore, the quintic-Raman effect induces first-, second-, and third-forms of the dissipative rogue waves and the twin parallel wave trains. Some fascinating phenomena such as deletion of waves, damping effect, tree structure, and disintegration of the Raman soliton self-frequency shift leading to the multi-Raman soliton self-frequency shifts, are also scrutinized. Further, internal strife leading to these above-mentioned effects, are likewise presented in detail. •The response of a double negative material.•The Raman, nonlinearity and dispersion effects.•The internal disturbance related to each effect.•The collective coordinates’ theory using conventional Gaussian Ansatz.•The physical conditions leading to specific rogue events.•Theoretical frequencies that exhibit those rogue events.