Spiralling elliptic vortex solitons in nonlocal nonlinear media

Abstract

We have introduced a class of spiralling elliptic vortex (SEV) solitons in nonlocal nonlinear media. The SEV soliton has more complicated structures both in its amplitude and in its phase compared with conventional vortex solitons. Different from the circularly symmetric amplitude profile of vortex solitons, the SEV solitons exhibit the elliptic optical spots. Furthermore, the SEV solitons have the special modulated helical phase structures, which make the SEV solitons rotate. For different topological charges, all the SEV solitons own the same critical power, critical cross-term phase coefficient and the critical angular velocity for fixed semiaxis of the elliptic spots. The stability of the SEV solitons is confirmed by the direct numerical simulations with random noises.

Keywords:

• Spiraling elliptic vortex solitons
• nonlocal nonlinearity
• rotations

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

This research was supported by the National Natural Science Foundation of China [grant number 11604199], and Key Research Fund of Higher Education of Henan Province, China [grant number 16A140030].