Matuszewski, MichalInfeld, EMalomed, Boris ATrippenbach, Marek2015-12-100031-9007http://hdl.handle.net/1885/52286We investigate the stability properties of breather solitons in a three-dimensional Bose-Einstein condensate with Feshbach resonance management of the scattering length and confined only by a one-dimensional optical lattice. We compare regions of stability in parameter space obtained from a fully 3D analysis with those from a quasi-two-dimensional treatment. For moderate confinement we discover a new island of stability in the 3D case, not present in the quasi-2D treatment. Stable solutions from this region have nontrivial dynamics in the lattice direction; hence, they describe fully 3D breather solitons. We demonstrate these solutions in direct numerical simulations and outline a possible way of creating robust 3D solitons in experiments in a Bose-Einstein condensate in a one-dimensional lattice. We point out other possible applications.Keywords: Einstein condensate; Lattice direction; Quasi-two-dimensional treatment; Computer simulation; Crystal lattices; Elementary particles; Numerical analysis; Optical properties; Resonance; Solitons200510.1103/PhysRevLett.95.0504032015-12-09