Nonautonomous bright matter-wave solitons and soliton collisions in Fourier-synthesized optical lattices

We present analytical bright multisoliton solutions to the generalized nonautonomous nonlinear Schrödinger equation with time- and space-dependent distributed coefficients in Fourier-synthesized optical lattice potential based on the similarity transformation technique. Such solutions exist in certain constraint conditions on the coefficients depicting dispersion, nonlinearity, and gain (or loss). Various shapes of bright solitons and interesting interactions between two solitons are observed, including soliton trains, collapse and revival of condensates, and two periodic M-shape solitons with collision. Phenomena of a few solitons and physical applications of interest to the field are discussed.