Spatial solitons in non-parity-time-symmetric complex potentials with competing cubic-quintic nonlinearities

This work demonstrates that non-parity-time-symmetric complex potentials can support continuous soliton families in competing cubic-quintic nonlinearities. We fix the defocusing cubic nonlinearity coefficient and vary the quintic nonlinearity coefficient. It is found that the quintic nonlinearity coefficient influences the soliton existence and stability areas significantly. When the quintic nonlinearity is focusing, both the single- and two-peak solitons are stable within a low power range. When this nonlinearity becomes defocusing, the existing and stabilizing domains of both soliton types broaden obviously. Above transition phase, the single-peak solitons can transmit stably within a moderate power area, but all two-peak solitons are unstable. Unique soliton propagation properties are found and the existence of the quintic nonlinearity also produces particular characteristics in the linear-stability spectra for these solitons.

Automated summary

This work demonstrates that non-parity-time-symmetric complex potentials can support continuous soliton families in competing cubic-quintic nonlinearities. The quintic nonlinearity coefficient influences the soliton existence and stability areas significantly.