Generic transverse stability of kink structures in atomic and optical
nonlinear media with competing attractive and repulsive interactions
Generic transverse stability of kink structures in atomic and optical
nonlinear media with competing attractive and repulsive interactions
We demonstrate the existence and stability of one-dimensional (1D) topological kink configurations immersed in higher-dimensional bosonic gases and nonlinear optical setups. Our analysis pertains, in particular, to the two- and three-dimensional extended Gross-Pitaevskii models with quantum fluctuations describing droplet-bearing environments but also to the two-dimensional cubic-quintic nonlinear Schr\"odinger equation containing …