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The dynamics of Bose-Einstein condensates in the lowest energy band of aone-dimensional optical lattice is generally disturbed by the presence oftransversally excited resonant states. We propose an effective one-dimensionaltheory which takes these resonant modes into account and derive variationalequations for large-scale dynamics. Several applications of the theory arediscussed and a novel type of "triple soliton" is proposed, which consists of asuperposition of a wavepacket at the upper band edge and two transversallyexcited wavepackets which are displaced in quasi-momentum space.Comment: 12 pages, 6 figure

the european physical journal. d, atomic, molecular and optical physics/the european physical journal. d, atomic, molecular, optical and plasma physics

Dynamics of Bose-Einstein condensates in one-dimensional optical lattices in the presence of transverse resonances