Soliton dynamics in partially <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>P</mml:mi> <mml:mi>T</mml:mi> </mml:math> -symmetric two-dimensional Bessel lattices

Abstract We study the dynamics of two-dimensional spatial solitons supported by partially-parity-time ( <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mi class="MJX-tex-calligraphic" mathvariant="script">P</mml:mi> <mml:mi class="MJX-tex-calligraphic" mathvariant="script">P</mml:mi> <mml:mi class="MJX-tex-calligraphic" mathvariant="script">T</mml:mi> </mml:math> )-symmetric optical Bessel lattices. We show that these solitons with an imposed tilt can follow an oscillating or even a whole rotary trajectory in the transverse plane guided by a Bessel optical lattice. Due to the complex optical potential, these rotary solitons can also suffer from amplification or attenuation. Interestingly, we found that it is possible to find quasi-stability regions of parameters where there is a balance between the imposed tilt and the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mi class="MJX-tex-calligraphic" mathvariant="script">P</mml:mi> <mml:mi class="MJX-tex-calligraphic" mathvariant="script">P</mml:mi> <mml:mi class="MJX-tex-calligraphic" mathvariant="script">T</mml:mi> </mml:math> -symmetric potential, allowing the launched spatial dissipative solitons to complete several rotations in their propagation.