Stable dissipative topological solitons in media with even-order dispersion

Abstract

The formation and dynamics of dissipative solitons are governed by the interplay of dispersion and nonlinearity, alongside the gain-loss balance. While it is known that dispersion orders beyond the conventional second order support stable solitons, the possibility of the creation of dissipative topological solitons in this setting was not explored. Here, we reveal a class of stable dissipative solitons enabled by the pure-high-even-order dispersion (PHEOD), with dispersion orders m=4, 6, 8, and 10. The resulting dissipative topological solitons (DTSs) and moving topological solitons (MTSs) are dark-type structures featuring a zero-amplitude point that separates two CW backgrounds with opposite signs. In particular, the PHEOD solitons feature oscillatory tails, which are not present in the conventional dark states. The linear-stability analysis confirms full robustness of the PHEOD-supported DTSs and MTSs. We also explore collision dynamics of MTSs, whose repulsive interactions are inelastic, leading either to rebound, accompanied by emission of dispersive radiation, or complete fusion. These findings establish PHEOD as a means for the generation of new species of dissipative solitons, and broaden the variety of nonlinear modes available to experimental studies in nonlinear optics.