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We study properties of excited states of an array of weakly coupledquasi-two-dimensional Bose condensates by using the hydrodynamic theory. Thespectrum of the axial excited states strongly depends on the coupling among thevarious discrete radial modes in a given symmetry. By including mode-couplingwithin a given symmetry, the complete excitation spectrum of axialquasiparticles with various discrete radial nodes are presented. A singleparameter which determines the strength of the mode coupling is identified. Theexcitation spectrum in the zero angular momentum sector can be observed byusing the Bragg scattering experiments.Comment: to apper in Phys. Rev.

Multibranch Bogoliubov-Bloch spectrum of a cigar-shaped Bose condensate in an optical lattice