We consider a coherently coupled nonlinear Schr\"odinger equation with modulated self-phase modulation, cross-phase modulation, and four-wave mixing nonlinearities and varying refractive index in anisotropic graded index nonlinear medium. By identifying an appropriate similarity transformation, we obtain a general localized wave solution and investigate their dynamics with a proper set of modulated nonlinearities. In particular, our study reveals different manifestations of localized waves such as stable solitons, Akhmediev breathers, Ma breathers, and rogue waves of bright, bright-dark, and dark-dark type and explores their manipulation mechanism with suitably engineered nonlinearity parameters. We have provided a categorical analysis with adequate graphical demonstrations.
@article{arxiv.2008.06361,
title = {Engineering Optical Rogue Waves and Breathers in a Coupled Nonlinear Schr\"odinger System with Four-Wave Mixing Effect},
author = {K. Sakkaravarthi and R. Babu Mareeswaran and T. Kanna},
journal= {arXiv preprint arXiv:2008.06361},
year = {2020}
}