Vector waves with spatiotemporal dispersion and χ~(3) nonlinearity: transformations and relativity, solitons and stability

摘要

A vector model, fully-second-order in both space and time, is proposed for coupled electromagnetic modes in nonlinear waveguides. Our formalism has strong overlaps with the special relativity. Exact two-component solitons are derived, asymptotic analysis recovers classic solutions, and simulations address wave robustness.